Relevant bibliographies by topics / Arithmetic geometry / Dissertations / Theses
To see the other types of publications on this topic, follow the link: Arithmetic geometry.

Dissertations / Theses on the topic 'Arithmetic geometry'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 dissertations / theses for your research on the topic 'Arithmetic geometry.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse dissertations / theses on a wide variety of disciplines and organise your bibliography correctly.

1

Aghasi, Mansour. "Geometry of arithmetic surfaces." Thesis, Durham University, 1996. http://etheses.dur.ac.uk/5270/.

Full text
Abstract:
In this thesis my emphasis is on the resolution of the singularities of fibre products of Arithmetic Surfaces. In chapter one as an introduction to my thesis some elementary concepts related to regular and singular points are reviewed and the concept of tangent cone is defined for schemes over a discrete valuation ring. The concept of arithmetic surfaces is introduced briefly in the end of this chapter. In chapter 2 my new procedures namely the procedure of Mojgan(_1) and the procedure of Mahtab(_2) and a new operator called Moje are introduced. Also the concept of tangent space is defined for
APA, Harvard, Vancouver, ISO, and other styles
2

Selander, Björn. "Arithmetic of three-point covers." Doctoral thesis, Uppsala universitet, Matematiska institutionen, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7497.

Full text
Abstract:
Any cover of the Riemann sphere with rational branch points is known to be defined over the algebraic numbers. Hence the Galois group of the rationals acts on the category of such branched covers. Particulars about this action are still scarce, even in the simplest non-abelian case, the case with just three branch points. The first paper in this thesis describes a new algorithm, which uses modular form techniques in order to compute the equations for a cover of the Riemann sphere which is hyperelliptic as a curve. Given such equations one may easily determine the Galois orbit to which the cove
APA, Harvard, Vancouver, ISO, and other styles
3

Morrow, Matthew Thomas. "Investigations in two-dimensional arithmetic geometry." Thesis, University of Nottingham, 2009. http://eprints.nottingham.ac.uk/11016/.

Full text
Abstract:
This thesis explores a variety of topics in two-dimensional arithmetic geometry, including the further development of I. Fesenko's adelic analysis and its relations with ramification theory, model-theoretic integration on valued fields, and Grothendieck duality on arithmetic surfaces. I. Fesenko's theories of integration and harmonic analysis for higher dimensional local fields are extended to an arbitrary valuation field F whose residue field is a local field; applications to local zeta integrals are considered. The integral is extended to F^n, where a linear change of variables formula is pr
APA, Harvard, Vancouver, ISO, and other styles
4

Martinez, Metzmeier César. "Two problems in arithmetic geometry. Explicit Manin-Mumford, and arithmetic Bernstein-Kusnirenko." Thesis, Normandie, 2017. http://www.theses.fr/2017NORMC224/document.

Full text
Abstract:
Dans la première partie de cette thèse, on présente des bornes supérieures fines pour le nombre de sous-variétés irréductibles de torsion maximales dans une sous-variété du tore complexe algébrique $(\mathbb{C}^{\times})^n$ et d'une variété abélienne. Dans les deux cas, on donne une borne explicite en termes du degré des polynômes définissants et la variété ambiante. De plus, la dépendance en le degré des polynômes est optimale. Dans le cas du tore complexe, on donne aussi une borne explicite en termes du degré torique de la sous-variété. En conséquence de ce dernier résultat, on démontre les
APA, Harvard, Vancouver, ISO, and other styles
5

Paajanen, Pirita Maria. "Zeta functions of groups and arithmetic geometry." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.419325.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Ji, Shujuan Ramakrishnan Dinakar Ramakrishnan Dinakar. "Arithmetic and geometry on triangular Shimura curves /." Diss., Pasadena, Calif. : California Institute of Technology, 1995. http://resolver.caltech.edu/CaltechETD:etd-10052007-134336.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Kaba, Mustafa Devrim. "On The Arithmetic Of Fibered Surfaces." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613674/index.pdf.

Full text
Abstract:
In the first three chapters of this thesis we study two conjectures relating arithmetic with geometry, namely Tate and Lang&rsquo<br>s conjectures, for a certain class of algebraic surfaces. The surfaces we are interested in are assumed to be defined over a number field, have irregularity two and admit a genus two fibration over an elliptic curve. In the final chapter of the thesis we prove the isomorphism of the Picard motives of an arbitrary variety and its Albanese variety.
APA, Harvard, Vancouver, ISO, and other styles
8

Camara, Alberto. "Interaction of topology and algebra in arithmetic geometry." Thesis, University of Nottingham, 2013. http://eprints.nottingham.ac.uk/13247/.

Full text
Abstract:
This thesis studies topological and algebraic aspects of higher dimensional local fields and relations to other neighbouring research areas such as nonarchimedean functional analysis and higher dimensional arithmetic geometry. We establish how a higher local field can be described as a locally convex space once an embedding of a local field into it has been fixed. We study the resulting spaces from a functional analytic point of view: in particular we introduce and study bounded, c-compact and compactoid submodules of characteristic zero higher local fields. We show how these spaces are isomor
APA, Harvard, Vancouver, ISO, and other styles
9

Yang, Wenzhe. "The arithmetic geometry of mirror symmetry and the conifold transition." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:e55a7b22-a268-4c57-9d98-c0547ecdcef9.

Full text
Abstract:
The central theme of this thesis is the application of mirror symmetry to the study of the arithmetic geometry of Calabi-Yau threefolds. It formulates a conjecture about the properties of the limit mixed Hodge structure at the large complex structure limit of an arbitrary mirror threefold, which is supported by a two-parameter example of a self-mirror Calabi-Yau threefold. It further studies the connections between this conjecture with Voevodsky's mixed motives. This thesis also studies the connections between the conifold transition and Beilinson's conjecture on the values of the L-functions
APA, Harvard, Vancouver, ISO, and other styles
10

Lee, Chih-kuo. "Robust evaluation of differential geometry properties using interval arithmetic techniques." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/33565.

Full text
Abstract:
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 2005.<br>Includes bibliographical references (p. 79-82).<br>This thesis presents a robust method for evaluating differential geometry properties of sculptured surfaces by using a validated ordinary differential equation (ODE) system solver based on interval arithmetic. Iso-contouring of curvature of a Bezier surface patch. computation of curvature lines of a Bezier surface patch and computation of geodesics of a Bezier surface patch are computed by the Validated Numerical Ordinary Differential Equations (VNODE) s
APA, Harvard, Vancouver, ISO, and other styles
11

Lazda, Christopher David. "Rational homotopy theory in arithmetic geometry : applications to rational points." Thesis, Imperial College London, 2014. http://hdl.handle.net/10044/1/24707.

Full text
Abstract:
In this thesis I study various incarnations of rational homotopy theory in the world of arithmetic geometry. In particular, I study unipotent crystalline fundamental groups in the relative setting, proving that for a smooth and proper family of geometrically connected varieties f:X->S in positive characteristic, the rigid fundamental groups of the fibres X_s glue together to give an affine group scheme in the category of overconvergent F-isocrystals on S. I then use this to define a global period map similar to the one used by Minhyong Kim to study rational points on curves over number fields.
APA, Harvard, Vancouver, ISO, and other styles
12

Vonk, Jan Bert. "The Atkin operator on spaces of overconvergent modular forms and arithmetic applications." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:081e4e46-80c1-41e7-9154-3181ccb36313.

Full text
Abstract:
We investigate the action of the Atkin operator on spaces of overconvergent p-adic modular forms. Our contributions are both computational and geometric. We present several algorithms to compute the spectrum of the Atkin operator, as well as its p-adic variation as a function of the weight. As an application, we explicitly construct Heegner-type points on elliptic curves. We then make a geometric study of the Atkin operator, and prove a potential semi-stability theorem for correspondences. We explicitly determine the stable models of various Hecke operators on quaternionic Shimura curves, and
APA, Harvard, Vancouver, ISO, and other styles
13

Turchetti, Danièle. "Contributions to arithmetic geometry in mixed characteristic : lifting covers of curves, non-archimedean geometry and the l-modular Weil representation." Thesis, Versailles-St Quentin en Yvelines, 2014. http://www.theses.fr/2014VERS0022/document.

Full text
Abstract:
Dans cette thèse on étudie certains phénomènes d'interactions entre caractéristique positive et caractéristique nulle. Dans un premier temps on s'occupe du problème de relèvement locale d'actions de groupes. On y montre des conditions nécessaires pour l'existence de relèvement de certains actions du groupe Z/pZ x Z/pZ. Pour une action d'un groupe fini quelconque, on y étudie les arbres de Hurwitz, en montrant que chaque arbre de Hurwitz admet un plongement dans le disque unitaire fermé de Berkovich et que ses données de Hurwitz peuvent être décrites de façon analytique. Dans une deuxième parti
APA, Harvard, Vancouver, ISO, and other styles
14

Levitt, Benjamin L. "Tate-Shafarevich Groups of Jacobians of Fermat Curves." Diss., The University of Arizona, 2006. http://hdl.handle.net/10150/193812.

Full text
Abstract:
For a fixed rational prime p and primitive p-th root of unity ζ, we consider the Jacobian, J, of the complete non-singular curve give by equation yᵖ = xᵃ(1 − x)ᵇ. These curves are quotients of the p-th Fermat curve, given by equation xᵖ+yᵖ = 1, by a cyclic group of automorphisms. Let k = Q(ζ) and k(S) be the maximal extension of k unramified away from p inside a fixed algebraic closure of k. We produce a formula for the image of certain coboundary maps in group cohomology given in terms of Massey products, applicable in a general setting. Under specific circumstance, stated precisely below, we
APA, Harvard, Vancouver, ISO, and other styles
15

Knapp, Greg. "Minkowski's Linear Forms Theorem in Elementary Function Arithmetic." Case Western Reserve University School of Graduate Studies / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=case1495545998803274.

Full text
APA, Harvard, Vancouver, ISO, and other styles
16

Mohammed, Dilbak. "Generalised Frobenius numbers : geometry of upper bounds, Frobenius graphs and exact formulas for arithmetic sequences." Thesis, Cardiff University, 2015. http://orca.cf.ac.uk/98161/.

Full text
Abstract:
Given a positive integer vector ${\ve a}=(a_{1},a_{2}\dots,a_k)^t$ with \bea 1< a_{1}<\cdots<a_{k}\, \quad \text{and}\quad \gcd(a_{1},\ldots,a_{k})=1 \,. \eea The Frobenius number of the vector ${\ve a}$, $\frob_k({\ve a})$, is the largest positive integer that cannot be represented as $\sum\limits_{i=1}^{k}a_{i}x_{i}$, where $x_{1},\ldots,x_{k}$ are nonnegative integers. We also consider a generalised Frobenius number, known in the literature as the $s$-Frobenius number, $\frob_{s}(a_{1},a_{2},\ldots,a_{k})$, which is defined to be the largest integer that cannot be represented as $\sum\limit
APA, Harvard, Vancouver, ISO, and other styles
17

Tyler, Michael Peter. "On the birational section conjecture over function fields." Thesis, University of Exeter, 2017. http://hdl.handle.net/10871/31600.

Full text
Abstract:
The birational variant of Grothendieck's section conjecture proposes a characterisation of the rational points of a curve over a finitely generated field over Q in terms of the sections of the absolute Galois group of its function field. While the p-adic version of the birational section conjecture has been proven by Jochen Koenigsmann, and improved upon by Florian Pop, the conjecture in its original form remains very much open. One hopes to deduce the birational section conjecture over number fields from the p-adic version by invoking a local-global principle, but if this is achieved the prob
APA, Harvard, Vancouver, ISO, and other styles
18

Tsujimura, Shota. "Combinatorial Belyi Cuspidalization and Arithmetic Subquotients of the Grothendieck-Teichmüller Group." Kyoto University, 2020. http://hdl.handle.net/2433/253067.

Full text
APA, Harvard, Vancouver, ISO, and other styles
19

Svensson, Cecilia. "Taluppfattningens betydelse för elevers matematiska utveckling : En kvantitativ studie i åk 2 av sambandet mellan elevers taluppfattning och deras kunskapsnivå inom aritmetik respektive geometri." Thesis, Karlstads universitet, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-68945.

Full text
Abstract:
Sammanfattning Syftet med denna studie är att undersöka betydelsen av elevers taluppfattning för deras kunskap i geometri och aritmetik. Analyserna baseras på jämförelser av resultat dels från tester i den ordinarie undervisningen inom de två matematikgrenarna aritmetik och geometri och dels resultat från ett test, för bestämning av elevernas taluppfattning, som tagits fram inom denna studie. Undersökningsmetoden som användes för att mäta taluppfattningen var kvantitativa intervjuer, där 30 elever i åk 2 deltog. Intervjuerna var utformade som ett matematiskt samtal utifrån en för årsklassen an
APA, Harvard, Vancouver, ISO, and other styles
20

Weinstein, Madeleine. "Adinkras and Arithmetical Graphs." Scholarship @ Claremont, 2016. http://scholarship.claremont.edu/hmc_theses/85.

Full text
Abstract:
Adinkras and arithmetical graphs have divergent origins. In the spirit of Feynman diagrams, adinkras encode representations of supersymmetry algebras as graphs with additional structures. Arithmetical graphs, on the other hand, arise in algebraic geometry, and give an arithmetical structure to a graph. In this thesis, we will interpret adinkras as arithmetical graphs and see what can be learned. Our work consists of three main strands. First, we investigate arithmetical structures on the underlying graph of an adinkra in the specific case where the underlying graph is a hypercube. We classify
APA, Harvard, Vancouver, ISO, and other styles
21

Higashiyama, Kazumi. "The semi-absolute anabelian geometry of geometrically pro-p arithmetic fundamental groups of associated low-dimensional configuration spaces." Kyoto University, 2019. http://hdl.handle.net/2433/242582.

Full text
APA, Harvard, Vancouver, ISO, and other styles
22

Patel, Nirav B. "Voronoi diagrams robust and efficient implementation /." Diss., Online access via UMI:, 2005.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
23

Pancratz, Sebastian Friedrich. "Practical improvements to the deformation method for point counting." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:b3a3d42c-203a-41ff-be1c-27f1018db3c8.

Full text
Abstract:
In this thesis we investigate practical aspects related to point counting problems on algebraic varieties over finite fields. In particular, we present significant improvements to Lauder’s deformation method for smooth projective hypersurfaces, which allow this method to be successfully applied to previously intractable instances. Part I is dedicated to the deformation method, including a complete description of the algorithm but focussing on aspects for which we contribute original improvements. In Chapter 3 we describe the computation of the action of Frobenius on the rigid cohomology space
APA, Harvard, Vancouver, ISO, and other styles
24

Wills, Michael Thomas. "Computing the trace of an endomorphism of a supersingular elliptic curve." Thesis, Virginia Tech, 2021. http://hdl.handle.net/10919/103821.

Full text
Abstract:
We provide an explicit algorithm for computing the trace of an endomorphism of an elliptic curve which is given by a chain of small-degree isogenies. We analyze its complexity, determining that if the length of the chain, the degree of the isogenies, and the log of the field-size are all O(n), the trace of the endomorphism can be computed in O(n⁶) bit operations. This makes explicit a theorem of Kohel which states that such a polynomial time algorithm exists. The given procedure is based on Schoof's point-counting algorithm.<br>Master of Science<br>The developing technology of quantum computer
APA, Harvard, Vancouver, ISO, and other styles
25

Wang, Xiaozong. "On the Bertini theorem in Arakelov geometry." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASM015.

Full text
Abstract:
Cette thèse a pour objet l'étude des propriétés géométriques des variétés arithmétiques. Plus précisément, nous nous intéressons à l'existence des sous-schémas projectifs réguliers sur une variété arithmétique projective régulière. Nous étendons d'abord un résultat de Poonen. Nous prouvons notamment qu'étant donnés une variété projective lisse X sur un corps fini et un faisceau ample L au-dessus de X, la proportion des sections globales de L⊗d ayant un diviseur lisse tend vers ζx(1+dim X)⁻¹ quand d tend vers l'infini. Nous montrons ensuite que pour une variété arithmétique projective régulière
APA, Harvard, Vancouver, ISO, and other styles
26

Giovenzana, Franco [Verfasser], Christian [Akademischer Betreuer] Lehn, Christian [Gutachter] Lehn, Nicolas [Gutachter] Addington, and Paolo [Gutachter] Stellari. "Geometry and Arithmetic of the LLSvS Variety / Franco Giovenzana ; Gutachter: Christian Lehn, Nicolas Addington, Paolo Stellari ; Betreuer: Christian Lehn." Chemnitz : Technische Universität Chemnitz, 2021. http://d-nb.info/1230984054/34.

Full text
APA, Harvard, Vancouver, ISO, and other styles
27

Derenthal, Ulrich. "Geometry of universal torsors." Doctoral thesis, [S.l.] : [s.n.], 2006. http://webdoc.sub.gwdg.de/diss/2006/derenthal.

Full text
APA, Harvard, Vancouver, ISO, and other styles
28

Smith, Benjamin Andrew. "Explicit endomorphisms and correspondences." University of Sydney, 2006. http://hdl.handle.net/2123/1066.

Full text
Abstract:
Doctor of Philosophy (PhD)<br>In this work, we investigate methods for computing explicitly with homomorphisms (and particularly endomorphisms) of Jacobian varieties of algebraic curves. Our principal tool is the theory of correspondences, in which homomorphisms of Jacobians are represented by divisors on products of curves. We give families of hyperelliptic curves of genus three, five, six, seven, ten and fifteen whose Jacobians have explicit isogenies (given in terms of correspondences) to other hyperelliptic Jacobians. We describe several families of hyperelliptic curves whose Jacobians hav
APA, Harvard, Vancouver, ISO, and other styles
29

Smith, Benjamin Andrew. "Explicit endomorphisms and correspondences." Thesis, The University of Sydney, 2005. http://hdl.handle.net/2123/1066.

Full text
Abstract:
In this work, we investigate methods for computing explicitly with homomorphisms (and particularly endomorphisms) of Jacobian varieties of algebraic curves. Our principal tool is the theory of correspondences, in which homomorphisms of Jacobians are represented by divisors on products of curves. We give families of hyperelliptic curves of genus three, five, six, seven, ten and fifteen whose Jacobians have explicit isogenies (given in terms of correspondences) to other hyperelliptic Jacobians. We describe several families of hyperelliptic curves whose Jacobians have complex or real multiplicati
APA, Harvard, Vancouver, ISO, and other styles
30

Dogra, Netan. "Topics in the theory of Selmer varieties." Thesis, University of Oxford, 2015. https://ora.ox.ac.uk/objects/uuid:2a1b0c3f-7f84-44e8-b7a3-80ff37a8b5f8.

Full text
Abstract:
The Selmer varieties of a hyperbolic curve X over &Qopf; are refinements of the Selmer group arising from replacing the Tate module of the Jacobian with higher quotients of the unipotent étale fundamental group. It is hoped that these refinements carry extra arithmetic information. In particular the nonabelian Chabauty method developed by Kim uses the Selmer variety to give a new method to find the set X(&Qopf;). This thesis studies certain local and global properties of the Selmer varieties associated to finite dimensional quotients of the unipotent fundamental group of a curve over &Qopf;.
APA, Harvard, Vancouver, ISO, and other styles
31

Haydon, James Henri. "Étale homotopy sections of algebraic varieties." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:88019ba2-a589-4179-ad7f-1eea234d284c.

Full text
Abstract:
We define and study the fundamental pro-finite 2-groupoid of varieties X defined over a field k. This is a higher algebraic invariant of a scheme X, analogous to the higher fundamental path 2-groupoids as defined for topological spaces. This invariant is related to previously defined invariants, for example the absolute Galois group of a field, and Grothendieck’s étale fundamental group. The special case of Brauer-Severi varieties is considered, in which case a “sections conjecture” type theorem is proved. It is shown that a Brauer-Severi variety X has a rational point if and only if its étale
APA, Harvard, Vancouver, ISO, and other styles
32

Feijó, Rafael Godolphim. "O intuicionismo Kantiano à Luz do Logicismo e do Cognitivismo: Uma defesa da intuição pura do espaço e do tempo." Universidade do Vale do Rio dos Sinos, 2017. http://www.repositorio.jesuita.org.br/handle/UNISINOS/6390.

Full text
Abstract:
Submitted by JOSIANE SANTOS DE OLIVEIRA (josianeso) on 2017-06-27T17:05:47Z No. of bitstreams: 1 Rafael Godolphim Feijó_.pdf: 1835499 bytes, checksum: 9b7410f8b42d5a741ecbd275052ab216 (MD5)<br>Made available in DSpace on 2017-06-27T17:05:47Z (GMT). No. of bitstreams: 1 Rafael Godolphim Feijó_.pdf: 1835499 bytes, checksum: 9b7410f8b42d5a741ecbd275052ab216 (MD5) Previous issue date: 2017-03-31<br>CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>FAPERGS - Fundação de Amparo à Pesquisa do Estado do Rio Grande do Sul<br>A filosofia kantiana da matemática é fundamentada s
APA, Harvard, Vancouver, ISO, and other styles
33

Borenstein, Evan. "Additive stucture, rich lines, and exponential set-expansion." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29664.

Full text
Abstract:
Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2009.<br>Committee Chair: Croot, Ernie; Committee Member: Costello, Kevin; Committee Member: Lyall, Neil; Committee Member: Tetali, Prasad; Committee Member: Yu, XingXing. Part of the SMARTech Electronic Thesis and Dissertation Collection.
APA, Harvard, Vancouver, ISO, and other styles
34

Gunawan, Albert. "Gauss's theorem on sums of 3 squares sheaves, and Gauss composition." Thesis, Bordeaux, 2016. http://www.theses.fr/2016BORD0020/document.

Full text
Abstract:
Le théorème de Gauss sur les sommes de 3 carrés relie le nombre de points entiers primitifs sur la sphère de rayon la racine carrée de n au nombre de classes d'un ordre quadratique imaginaire. En 2011, Edixhoven a esquissée une preuve du théorème de Gauss en utilisant une approche de la géométrie arithmétique. Il a utilisé l'action du groupe orthogonal spécial sur la sphère et a donné une bijection entre l'ensemble des SO3(Z)-orbites de tels points, si non vide, avec l'ensemble des classes d'isomorphisme de torseurs sous le stabilisateur. Ce dernier ensemble est un groupe, isomorphe au groupe
APA, Harvard, Vancouver, ISO, and other styles
35

Huang, Zhizhong. "Distribution asymptotique fine des points de hauteur bornée sur les variétés algébriques." Thesis, Université Grenoble Alpes (ComUE), 2017. http://www.theses.fr/2017GREAM036/document.

Full text
Abstract:
L'étude de la distribution des points rationnels sur les variétés algébriques est un sujet classique de la géométrie diophantienne. Le programme proposé par V. Batyrev et Y. Manin dans des années 90 donne une prédiction sur l'ordre de croissance tandis que sa version ultérieure dûe à E. Peyre conjecture l'existence d'une distribution globale. Dans cette thèse nous nous proposons une étude de la distribution locale des points rationnels de hauteur bornée sur les variétés algébriques. Ceci envisage une description plus fine que celle globale en dénombrant les points le plus proche d'un point fix
APA, Harvard, Vancouver, ISO, and other styles
36

Batista, Maria Betania Soares da Silva. "Geometria e aritm?tica numa vis?o multicultural: uma experi?ncia pedag?gica." Universidade Federal do Rio Grande do Norte, 2012. http://repositorio.ufrn.br:8080/jspui/handle/123456789/16096.

Full text
Abstract:
Made available in DSpace on 2014-12-17T15:05:00Z (GMT). No. of bitstreams: 1 MariaBSSB_DISSERT.pdf: 3058839 bytes, checksum: 01e3dd63f68a40d4991cc8a64e5ca29d (MD5) Previous issue date: 2012-12-04<br>Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior<br>This paper aims to build a notebook of activities that can help the teacher of elementary school mathematics. Topics covered are arithmetic and geometry and the activities proposed here were developed aiming print them a multicultural character. We take as a base line developed by Claudia Zaslavsky multiculturalism and reflected
APA, Harvard, Vancouver, ISO, and other styles
37

Fox, Maria. "TheGL(4) Rapoport-Zink Space:." Thesis, Boston College, 2019. http://hdl.handle.net/2345/bc-ir:108374.

Full text
Abstract:
Thesis advisor: Benjamin Howard<br>This dissertation gives a description of the GL(4) Rapoport-Zink space, including the connected components, irreducible components, intersection behavior of the irreducible components, and Ekedahl-Oort stratification. As an application of this, this dissertation also includes a description of the supersingular locus of the Shimura variety for the group GU(2,2) over a prime split in the relevant imaginary quadratic field<br>Thesis (PhD) — Boston College, 2019<br>Submitted to: Boston College. Graduate School of Arts and Sciences<br>Discipline: Mathematics
APA, Harvard, Vancouver, ISO, and other styles
38

Munoz, Bertrand Ruben. "Coefficients en cohomologie de De Rham-Witt surconvergente." Thesis, Normandie, 2020. http://www.theses.fr/2020NORMC205.

Full text
Abstract:
Deligne a défini dans les années 70 le complexe de De Rham-Witt, qui permit à Illusie de prouver un théorème de comparaison avec la cohomologie cristalline. Ce résultat fut ensuite étendu par Etesse aux coefficients. En 2004, Bloch démontra que le théorème de comparaison cohomologique étendu aux coefficients d'Etesse possédait une interprétation plus profonde : sous certaines conditions, on obtient en fait une équivalence de catégories entre des cristaux et des connexions de De Rham Witt.Plus récemment, Davis, Langer et Zink ont introduit un complexe de De Rham-Witt surconvergent et démontré d
APA, Harvard, Vancouver, ISO, and other styles
39

Hachami, Saïd. "Périodes hermitiennes des courbes et application à une formule de chowla-selberg." Nancy 1, 1988. http://www.theses.fr/1988NAN10142.

Full text
Abstract:
La nouvelle démonstration de la formule de chowla-selberg dans le cas P = 7 consiste à exhiber une application méromorphe entre la courbe de fermat X**(7) + Y**(7) + Z**(7) = 0 de P::(2)(C) et une courbe elliptique. Un calcul direct que D. Barlet a effectué précédemment en liaison avec le calcul de la forme hermitienne cannonique des singularités isolées des surfaces de fermat X**(A) + Y**(B) + Z**(C) dans C**(3) montraient qu'une période hermitienne convenable sur la courbe X**(7) + Y**(7) + Z**(7) coincidait avec le membre de droite de la formule de chowla-selberg pour P = 7 (à des constante
APA, Harvard, Vancouver, ISO, and other styles
40

Savel, Charles. "Sur la dimension de certaines variétés de Kisin : le cas de la restriction des scalaires de GLd." Thesis, Rennes 1, 2015. http://www.theses.fr/2015REN1S072/document.

Full text
Abstract:
A une représentation de p-torsion du groupe de Galois absolu d'un corps p-adique, M. Kisin associe un espace de modules, appelé par la suite variété de Kisin par G. Pappas et M. Rapoport. Ces variétés ont été introduites afin de démontrer plusieurs résultats de modularité sur les représentations galoisiennes. Elles se sont révélées utiles également pour construire certains anneaux de déformations voire les calculer. Plus récemment elles ont été utilisées pour munir le champ des représentations galoisiennes de torsion d'une structure algébrique. Par ailleurs ces variétés ressemblent formellemen
APA, Harvard, Vancouver, ISO, and other styles
41

Tavenas, Sébastien. "Bornes inférieures et supérieures dans les circuits arithmétiques." Phd thesis, Ecole normale supérieure de lyon - ENS LYON, 2014. http://tel.archives-ouvertes.fr/tel-01066752.

Full text
Abstract:
La complexité arithmétique est l'étude des ressources nécessaires pour calcu- ler des polynômes en n'utilisant que des opérations arithmétiques. À la fin des années 70, Valiant a défini (de manière semblable à la complexité booléenne) des classes de polynômes. Les polynômes, ayant des circuits de taille polyno- miale, considérés faciles forment la classe VP. Les sommes exponentielles de ces derniers correpondent alors à la classe VNP. L'hypothèse de Valiant est la conjecture que VP ̸= VNP.Bien que cette conjecture soit encore grandement ouverture, cette dernière semble toutefois plus accessibl
APA, Harvard, Vancouver, ISO, and other styles
42

Silva, Lilian Esquinelato da [UNESP]. "Ensino intradisciplinar de Matemática através da resolução de problemas: o caso do Algeblocks." Universidade Estadual Paulista (UNESP), 2018. http://hdl.handle.net/11449/154125.

Full text
Abstract:
Submitted by Lilian Esquinelato da Silva (lilianes93@gmail.com) on 2018-05-29T20:44:18Z No. of bitstreams: 1 silva_lilian_esquinelato_me_rcla_2018.pdf: 4798742 bytes, checksum: 6e84b59709412d69b8419e352f8af435 (MD5)<br>Approved for entry into archive by Adriana Aparecida Puerta null (dripuerta@rc.unesp.br) on 2018-05-30T11:46:49Z (GMT) No. of bitstreams: 1 silva_le_me_rcla.pdf: 4813320 bytes, checksum: 3b13c11bf37d9c0a69c31470514d7f18 (MD5)<br>Made available in DSpace on 2018-05-30T11:46:49Z (GMT). No. of bitstreams: 1 silva_le_me_rcla.pdf: 4813320 bytes, checksum: 3b13c11bf37d9c0a69c31470
APA, Harvard, Vancouver, ISO, and other styles
43

Guillot, Gaétan. "Approximation de sous-espaces vectoriels de ℝⁿ par des sous-espaces rationnels". Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASM009.

Full text
Abstract:
Pour A un sous-espace vectoriel de ℝⁿ de dimension d et B un sous-espace rationnel de dimension e, on définit min(d,e) angles ψ_j(A,B) pour j dans {1,.., min(d,e)} qui rendent compte de la proximité entre A et B. On étudie alors l'exposant diophantien µₙ(A|e)_j défini comme la borne supérieure des µ &gt;0 tels qu'il existe une infinités d'espaces B de dimension e pour lesquels ψ_j(A,B) est inférieur à H(B)^(- µ), où H(B) est la hauteur de l'espace rationnel B . On montre d'abord une formule permettant de calculer, sous certaines hypothèses, µₙ(A|e)_j dans le cas où A est une somme directe de d
APA, Harvard, Vancouver, ISO, and other styles
44

Selander, Björn. "Arithmetic of three-point covers /." Uppsala : Department of Mathematics, Univ. [distributör], 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7497.

Full text
APA, Harvard, Vancouver, ISO, and other styles
45

Dissa, Sinaly. "Entre arithmétique et géométrie discrète, une étude épistémologique et didactique du théorème de Bézout et du théorème de Pick." Thesis, Université Grenoble Alpes, 2020. http://www.theses.fr/2020GRALM008.

Full text
Abstract:
Cette thèse étudie la problématique de changement de registres dans l’enseignement des mathématiques. Plus spécifiquement, nous avons choisi d’étudier les registres de l’arithmétique et de la géométrie avec des interactions des domaines du continu et du discret.Cette thèse montre, en particulier, que les situations adidactiques / didactiques « classiques » ne permettent pas de mettre en œuvre de telles interactions.Nous avons montré, de plus, qu’il y a une forte prégnance du continu dans les conceptions des étudiants et même une résistance à considérer le discret. Nos expérimentations ont été
APA, Harvard, Vancouver, ISO, and other styles
46

Seymour, David. "Exact rational arithmetic for geometric computation." Thesis, Cranfield University, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.387624.

Full text
APA, Harvard, Vancouver, ISO, and other styles
47

Le, Rudulier Cécile. "Points algébriques de hauteur bornée." Thesis, Rennes 1, 2014. http://www.theses.fr/2014REN1S073/document.

Full text
Abstract:
L'étude de la répartition des points rationnels ou algébriques d'une variété algébrique selon leur hauteur est un problème classique de géométrie diophantienne. Dans cette thèse, nous nous intéresserons au cardinal asymptotique de l'ensemble des points algébriques de degré fixé et de hauteur bornée d'une variété lisse de Fano définie sur un corps de nombres, lorsque la borne sur la hauteur tend vers l'infini. En particulier nous montrerons que cette question peut-être reliée à la conjecture de Batyrev-Manin-Peyre, c'est-à-dire le cas des points rationnels, sur un schéma de Hilbert ponctuel. No
APA, Harvard, Vancouver, ISO, and other styles
48

Berger, Diego. "Stratification d'Ekedahl-Oort pour les modèles de Pappas-Rapoport des variétés de Shimura." Electronic Thesis or Diss., Institut polytechnique de Paris, 2024. https://theses.hal.science/tel-04746932.

Full text
Abstract:
Dans cette thèse nous étudions la géométrie de la réduction de certainesvariétés de Shimura modulo un nombre premier p. Plus précisément on considèrela réduction modulo p des modèles entiers des variétés de Shimura de type PELconstruits par Pappas et Rapoport. Dans le cas d’une donnée PEL de type Hilbert,on montre que la stratification induite par le polygone de Hodge est une bonnestratification (l’adhérence d’une strate est une union disjointe de strates). Ensuitenous calculons les G-orbites de la fibre spéciale du modèle local de Pappas-Raporport dans le cas Hilbert, où G est le groupe assoc
APA, Harvard, Vancouver, ISO, and other styles
49

Ambrosi, Emiliano. "l-adic,p-adic and geometric invariants in families of varieties." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLX019/document.

Full text
Abstract:
Cette thèse est divisée en huit chapitres. D’abord, dans le Chapitre 1, on présente des résultats et des outils déjà connus qu’on utilisera dans la suite de la thèse. Le Chapitre 2 est consacré à résumer de maniére uniforme les nouveaux résultats présentés dans ce manuscrit.Les six chapitre restants sont originals. Dans les Chapitres 3 et 4 on démontre la chose suivante: soit $f:Yrightarrow X$ un morphisme lisse et prope sur une base $X$ lisse et géométriquament connexe sur un corps infini, finiment engendré et de caractéristique positive. Alors il y a beaucoup de points fermées $xin |X|$ tels
APA, Harvard, Vancouver, ISO, and other styles
50

Xu, Daxin. "Correspondances de Simpson p-adique et modulo pⁿ". Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLS133/document.

Full text
Abstract:
Cette thèse est consacrée à deux variantes arithmétiques de la correspondance de Simpson. Dans la première partie, on compare la correspondance de Simpson p-adique à un analogue p-adique de la correspondance de Narasimhan et Seshadri pour les courbes sur les corps p-adiques dû à Deninger et Werner. Narasimhan et Seshadri ont établi une correspondance entre les fibrés vectoriels stables de degré zéro et les représentations unitaires du groupe fondamental topologique pour une courbe complexe propre et lisse. Par transport parallèle, Deninger et Werner ont associé fonctoriellement à chaque fibré
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Arithmetic geometry' for other source types:
Journal articles Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography