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Dissertations / Theses on the topic 'Curve genus'

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Published: 2 June 2025

Last updated: 31 July 2025

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1

Flynn, Eugene Victor. "Curves of genus 2." Thesis, University of Cambridge, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305382.

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2

Balamohan, Balasingham. "Accelerating the scalar multiplication on genus 2 hyperelliptic curve cryptosystems." Thesis, University of Ottawa (Canada), 2010. http://hdl.handle.net/10393/28379.

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Elliptic Curve Cryptography (ECC) was independently introduced by Koblitz and Miller in the eighties. ECC requires shorter sizes of underlying finite fields in comparison to other public key cryptosystems such as RSA, introduced by Rivest, Shamir and Adleman. Hyperelliptic curves, a generalization of elliptic curves, require decreasing field size as genus increases. Hyperelliptic curves of genus g achieve equivalent security of ECC with field size 1/g times the size of field of ECC for g ≤ 4. Recently, a lot of research is being focused on increasing the efficiency of hyperelliptic curve c

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3

Perlis, Alexander R. "The projective geometry of curves of genus one, and an algorithm for the Jacobian of such a curve." Diss., The University of Arizona, 2004. http://hdl.handle.net/10150/280640.

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Given equations with k-rational coefficients that define a curve C of genus 1 over a perfect field k, can we find equations that define its jacobian J(C)? The problem is trivial when the degree n of a k-rational divisor on C is equal to 1. For the cases 2 ≤ n ≤ 4, certain standard forms for C appear classically, and the classical invariant theory of those forms turns out to contain equations that define J(C). This modern interpretation of classical results was explained for n = 2 in 1954, for n = 3 in 2001, and for n = 4 in 1996. A standard form for C and its invariant theory was worked out

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4

Bousseau, Pierrick. "Quantum mirrors of log Calabi-Yau surfaces and higher genus curve counting." Thesis, Imperial College London, 2018. http://hdl.handle.net/10044/1/63815.

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We present three results, at the intersection of tropical geometry, enumerative geometry, mirror symmetry and non-commutative algebra. 1. A correspondence between Block-Göttsche q-refined tropical curve counting and higher genus log Gromov-Witten theory of toric surfaces. 2. A correspondence between q-refined two-dimensional Kontsevich-Soibelman scattering diagrams and higher genus log Gromov-Witten theory of log Calabi-Yau surfaces. 3. A q-deformation of the Gross-Hacking-Keel mirror construction, producing a deformation quantization with canonical basis for the Gross-Hacking-Keel families o

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5

RIGATO, ALESSANDRA. "Uniqueness of optimal curves over F2 of small genus." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2009. http://hdl.handle.net/2108/1073.

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Una curva ottimale su Fq è definita come una curva proiettiva, liscia e assolutamente irriducibile definita sul campo finito Fq che ha il massimo numero di punti Fq-razionali consentito per il suo genere. I primi esempi di crve ottimali definite su F2 risalgono agli anni ottanta e sono dovuti a J.-P.Serre: applicando tecniche di teoria del corpo delle classi, Serre costruisce queste curve come ricoprimenti abeliani della retta proiettiva o di una curva ellittica di equazione data definita su F2. Dimostriamo in questa tesi che una curva ottimale di genere g definita su F2 è unica a meno di F2-m

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6

Kuchtová, Ludmila. "Růstové charakteristiky termofilních mikroorganismů." Master's thesis, Vysoké učení technické v Brně. Fakulta chemická, 2010. http://www.nusl.cz/ntk/nusl-216667.

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The aim of this work was focused on study of influence of cultivation conditions on growth of thermophilic bacteria Thermus aquaticus, Thermus scotoductus, Geobacillus thermodenitrificans and Geobacillus thermocatenulatus in cultivation medium recommended by Czech Collection of Microorganisms (CCM). The change of concentration of biomass during cultivation with various pH of media, cultivation temperature, agitation rate and with addition of glucose to medium during cultivation in Erlenmayer flasks was observed. Results served for determination of optimal growth conditions for each microorgani

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7

Borowka, Pawel. "Non-simple abelian varieties and (1,3) Theta divisors." Thesis, University of Bath, 2012. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.564009.

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This thesis studies non-simple Jacobians and non-simple abelian varieties. The moti- vation of the study is a construction which gives a distinguished genus 4 curve in the linear system of a (1, 3)-polarised surface. The main theorem characterises such curves as hyperelliptic genus 4 curves whose Jacobian contains a (1, 3)-polarised surface. This leads to investigating the locus of non-simple principally polarised abelian g- folds. The main theorem of this part shows that the irreducible components of this locus are Is~, defined as the locus of principally polarised g-folds having an abelian s

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8

Zito, Giuseppe. "Arf good semigroups." Doctoral thesis, Università di Catania, 2019. http://hdl.handle.net/10761/4113.

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In this thesis we explore the properties of the Arf good subsemigroups of N^r, with r>1. We give a way to compute all the Arf semigroups with a given collection of multiplicity branches. We also deal with the problem of determining the Arf closure of a set of vectors and of a good semigroup, extending the concept of characters of an Arf numerical semigroup to Arf good semigroups. Furthermore we present some procedures to calculate the set of the Arf good semigroups with a given conductor and with a given genus. Finally we give an effcient algorithm for the computation of the Arf Closure of

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9

Sadek, Mohammad. "Models of genus one curves." Thesis, University of Cambridge, 2010. https://www.repository.cam.ac.uk/handle/1810/225136.

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In this thesis we give insight into the minimisation problem of genus one curves defined by equations other than Weierstrass equations. We are interested in genus one curves given as double covers of P1, plane cubics, or complete intersections of two quadrics in P3. By minimising such a curve we mean making the invariants associated to its defining equations as small as possible using a suitable change of coordinates. Westudy the non-uniqueness of minimisations of the genus one curves described above. To achieve this goal we investigate models of genus one curves over Henselian discretevaluati

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10

TORRE, OSCAR ALFREDO PAZ LA. "GENUS THREE CURVES IN CHARACTERISTIC TWO." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2003. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=4303@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>Estudamos a variedade M3 de curvas de gênero três em característica dois. Para cada uma destas curvas calculamos seus possíveis números de pontos de Weierstrass, seus pesos, normalizações de muitos loci no espaço de moduli, entre outras coisas. Tratamos ainda do conceito de ponto de Galois.<br>We study the variety M3 of curves of genus three in characteristic two. For each of the curves we compute the possible number of Weierstrass points, their weights, normalizations of many loci in the moduli space, and so on. We also de

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11

Siksek, Samir. "Descents on curves of Genus 1." Thesis, University of Exeter, 1995. http://hdl.handle.net/10871/8323.

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12

Costa, ?rica Cristina Xisto da. "Polimorfismo do gene MSTN e do SNP BIEC2-808543 e sua rela??o com crescimento de potros da ra?a brasileiro de hipismo." Universidade Federal Rural do Rio de Janeiro, 2015. https://tede.ufrrj.br/jspui/handle/jspui/1392.

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Submitted by Sandra Pereira (srpereira@ufrrj.br) on 2017-01-25T15:40:39Z No. of bitstreams: 1 2015 - ?rica Cristina Xisto da Costa.pdf: 2608729 bytes, checksum: a906abcd8f725dc6509fedcf8de9e08c (MD5)<br>Made available in DSpace on 2017-01-25T15:40:39Z (GMT). No. of bitstreams: 1 2015 - ?rica Cristina Xisto da Costa.pdf: 2608729 bytes, checksum: a906abcd8f725dc6509fedcf8de9e08c (MD5) Previous issue date: 2015-07-31<br>Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior - CAPES<br>The gene encoding myostatin (MSTN), located on chromosome 18 (ECA 18) and the SNP BIEC2-808543 located in

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13

Zompatori, Marina. "Curves of high genus in projective space." Thesis, Boston University, 2004. https://hdl.handle.net/2144/33610.

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Thesis (Ph.D.)--Boston University<br>PLEASE NOTE: Boston University Libraries did not receive an Authorization To Manage form for this thesis or dissertation. It is therefore not openly accessible, though it may be available by request. If you are the author or principal advisor of this work and would like to request open access for it, please contact us at open-help@bu.edu. Thank you.<br>Algebraic curves C in the projective space P^n are characterized by their degree d and genus g. We would like to know what g are possible for a curve of degree d in P^n and to study the geometry of such curve

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14

Lorenzo, García Elisa. "Arithmetic properties of non-hyperelliptic genus 3 curves." Doctoral thesis, Universitat Politècnica de Catalunya, 2014. http://hdl.handle.net/10803/279314.

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This thesis explores the explicit computation of twists of curves. We develope an algorithm for computing the twists of a given curve assuming that its automorphism group is known. And in the particular case in which the curve is non-hyperelliptic we show how to compute equations of the twists. The algorithm is based on a correspondence that we establish beetwen the set of twists and the set of solutions of a certain Galois embedding problem. In general is not known how to compute all the solution of a Galois embedding problem. Throughout the thesis we give some ideas of how to solve these pro

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15

Ishizaka, Mizuho. "Monodromies of hyperelliptic families of genus three curves /." Sendai : Tohoku Univ, 2001. http://www.loc.gov/catdir/toc/fy0708/2006478281.html.

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16

Redmond, Joanne. "Coverings of families of curves of genus 2." Thesis, University of Liverpool, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.250416.

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17

England, Matthew. "Higher genus Abelian functions associated with algebraic curves." Thesis, Heriot-Watt University, 2009. http://hdl.handle.net/10399/2301.

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We investigate the theory of Abelian functions with periodicity properties defined from an associated algebraic curve. A thorough summary of the background material is given, including a synopsis of elliptic function theory, generalisations of the Weierstrass σ and 0functions and a literature review. The theory of Abelian functions associated with a tetragonal curve of genus six is considered in detail. Differential equations and addition formula satisfied by the functions are derived and a solution to the Jacobi Inversion Problem is presented. New methods which centre on a series expansion of

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18

Goluboff, Justin Ross. "Genus Six Curves, K3 Surfaces, and Stable Pairs:." Thesis, Boston College, 2020. http://hdl.handle.net/2345/bc-ir:108715.

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Thesis advisor: Maksym Fedorchuk<br>A general smooth curve of genus six lies on a quintic del Pezzo surface. In [AK11], Artebani and Kondō construct a birational period map for genus six curves by taking ramified double covers of del Pezzo surfaces. The map is not defined for special genus six curves. In this dissertation, we construct a smooth Deligne-Mumford stack P₀ parametrizing certain stable surface-curve pairs which essentially resolves this map. Moreover, we give an explicit description of pairs in P₀ containing special curves<br>Thesis (PhD) — Boston College, 2020<br>Submitted to: Bos

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19

Al-Shammari, Fahd M. "Jacobians of plane quintic curves of genus one." Diss., The University of Arizona, 2002. http://hdl.handle.net/10150/289840.

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Let K be a number field. By representing genus one curves as plane quintic curves with 5 double points, we construct (up to birational equivalence) the universal elliptic curves defined over the modular curves X₁(5) and X(μ)(5) (X(μ)(5) is the modular curve parameterizing pairs (E, i : (μ)₅ → E) where E is an elliptic curve over Q). We then twist the latter by elements coming from H¹(Gal(K̅/K), (μ)₅) to construct universal families of principal homogeneous spaces for the curves E. Finally we show that every principal homogeneous space arising this way is visible in some abelian variety.

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20

Arène, Christophe. "Géométrie et arithmétique explicites des variétés abéliennes et applications à la cryptographie." Thesis, Aix-Marseille 2, 2011. http://www.theses.fr/2011AIX22069/document.

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Les principaux objets étudiés dans cette thèse sont les équations décrivant le morphisme de groupe sur une variété abélienne, plongée dans un espace projectif, et leurs applications en cryptographie. Notons g sa dimension et k son corps de définition. Ce mémoire est composé de deux parties. La première porte sur l'étude des courbes d'Edwards, un modèle pour les courbes elliptiques possédant un sous-groupe de points k-rationnels cyclique d'ordre 4, connues en cryptographie pour l'efficacité de leur loi d'addition et la possibilité qu'elle soit définie pour toute paire de points k-rationnels (lo

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21

Hanselman, Jeroen [Verfasser]. "Gluing curves of genus 2 and genus 1 along their 2-torsion / Jeroen Hanselman." Ulm : Universität Ulm, 2020. http://d-nb.info/1219964816/34.

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22

Börner, Michel [Verfasser]. "L-functions of curves of genus ≥ 3 / Michel Börner." Ulm : Universität Ulm, 2016. http://d-nb.info/1119242533/34.

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23

Bending, Peter Richard. "Curves of genus 2 with #square root# 2 multiplication." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.267935.

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24

Ceyhan, Ozgür. "On moduli of pointed real curves of genus zero." Université Louis Pasteur (Strasbourg) (1971-2008), 2006. https://publication-theses.unistra.fr/public/theses_doctorat/2006/CEYHAN_Ozgur_2006.pdf.

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25

Ceyhan, Ozgür Kharlamov Viatcheslav Polyak Misha. "On moduli of pointed real curves of genus zero." Strasbourg : Université Louis Pasteur, 2007. http://eprints-scd-ulp.u-strasbg.fr:8080/731/01/ceyhan2006.pdf.

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26

Atalan, Ozan Ferihe. "Automorphisms Of Complexes Of Curves On Odd Genus Nonorientable Surfaces." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/3/12606352/index.pdf.

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Let N be a connected nonorientable surface of genus g with n punctures. Suppose that g is odd and g + n &gt<br>6. We prove that the automorphism group of the complex of curves of N is isomorphic to the mapping class group M of N.

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27

Andersson, Kennet. "Magister Curie och fröken Einstein : Genus och fysik i gymnasieskolan." Thesis, Umeå universitet, Institutionen för naturvetenskapernas och matematikens didaktik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-150082.

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Syftet med studien var att undersöka hur fysikläraren upplever betydelsen av genus givet läroplan och sitt ämne utifrån ett genusperspektiv på ämnet fysik, sin undervisning och reﬂektioner kring läromedel. Ett teoretiskt ramverk presenteras som inkluderar genusteorier, fysikämnet och fysikundervisningen. Fem fysiklärare som undervisar på gymnasiet intervjuades. Resultaten sammanställdes enligt en fenomenograﬁsk analys. De fem lärarna var alla medvetna om kopplingen mellan genus och fysik ur ett ämnes- och undervisningsperspektiv. Lärarna konstaterade att genus ligger lite dolt under ytan i fys

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28

Urioste, Eduardo Arcanjo 1989. "Parâmetros bioinformáticos do contexto genômico como preditores do efeito funcional de substituições pontuais na sequência 5' UTR em genes humanos." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/290036.

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Orientador: Sérgio Roberto Peres Line<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Odontologia de Piracicaba<br>Made available in DSpace on 2018-08-22T18:59:49Z (GMT). No. of bitstreams: 1 Urioste_EduardoArcanjo_M.pdf: 1274507 bytes, checksum: 0f7136d4dabaf0e810ad2bdf1b2ee815 (MD5) Previous issue date: 2013<br>Resumo: Estima-se que cada indivíduo carregue cerca de 120 a 430 variantes raras em regiões UTRs (Abecasis et al, 2012). Apesar da tolerância a variação na região 5' UTR, a patofisiologia de várias doenças está ligada a mutações na mesma (Cazzola & Skoda,

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29

Karadogan, Gulay. "The Moduli Of Surfaces Admitting Genus Two Fibrations Over Elliptic Curves." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12606084/index.pdf.

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In this thesis, we study the structure, deformations and the moduli spaces of complex projective surfaces admitting genus two fibrations over elliptic curves. We observe that, a surface admitting a smooth fibration as above is elliptic and we employ results on the moduli of polarized elliptic surfaces, to construct moduli spaces of these smooth fibrations. In the case of nonsmooth fibrations, we relate the moduli spaces to the Hurwitz schemes H(1,X(d),n) of morphisms of degree n from elliptic curves to the modular curve X(d), d&amp<br>#8804<br>3. Ultimately, we show that the moduli spaces, con

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30

Vogler, John Richard. "Linear forms in logarithms and integer points on genus-two curves." College Park, Md. : University of Maryland, 2006. http://hdl.handle.net/1903/4180.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2006.<br>Thesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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31

Singh, D. "The moduli space of stable N pointed curves of genus zero." Thesis, University of Sheffield, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.414682.

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32

Maistret, Céline. "Parity of ranks of Jacobians of hyperelliptic curves of genus 2." Thesis, University of Warwick, 2017. http://wrap.warwick.ac.uk/93324/.

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A consequence of the Birch and Swinnerton-Dyer conjecture is that the parity of the rank of abelian varieties is expected to be given by their global root numbers. This is known as the parity conjecture. Assuming the finiteness of the Shafarevich-Tate groups, the parity conjecture is equivalent to the p-parity conjecture for all prime p, that is the p∞ Selmer rank is expected to be given by the global root number. In this thesis we study the parity of the 2∞ Selmer rank of Jacobians of hyperelliptic curves of genus 2 defined over number fields. This forces us to assume the existence of a Riche

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33

Holmes, David. "Néron-Tate heights on the Jacobians of high-genus hyperelliptic curves." Thesis, University of Warwick, 2012. http://wrap.warwick.ac.uk/56776/.

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We use Arakelov intersection theory to study heights on the Jacobians of high-genus hyperelliptic curves. The main results in this thesis are: 1) new algorithms for computing Neron-Tate heights of points on hyperelliptic Jacobians of arbitrary dimension, together with worked examples in genera up to 9 (pre-existing methods are restricted to genus at most 2 or 3). 2) a new definition of a naive height of a point on a hyperelliptic Jacobian of arbitrary dimension, which does not make use of a projective embedding of the Jacobian or a quotient thereof. 3) an explicit bound on the difference betwe

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34

Zahariuc, Adrian Ioan. "Degenerations, Log K3 Pairs and Low Genus Curves on Algebraic Varieties." Thesis, Harvard University, 2016. http://nrs.harvard.edu/urn-3:HUL.InstRepos:33493440.

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35

Bruns, Gregor. "Divisors on moduli spaces of level curves." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2017. http://dx.doi.org/10.18452/17674.

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In dieser Arbeit untersuchen wir drei Fragestellungen. Zwei beschäftigen sich mit Divisoren auf Modulräumen von Kurven mit Levelstruktur, die dritte handelt von Stabilitätseigenschaften der Normalenbündel von kanonischen Kurven. Die erste Frage, die in Kapitel 2 studiert wird, beschäftigt sich mit der Kodairadimension des Modulraums R15,2 von Prym-Varietäten vom Geschlecht 15. Wir studieren einen neuen Divisor auf diesem Modulraum und berechnen seine Klasse in der Standardbasis der Picardgruppe. Mit Hilfe dieser Klasse können wir schlussfolgern, dass R15,2 von allgemeinem Typ ist. In Kap

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Egan, Deirdre. "Haunted by the bell curve: race, genes and gender in American higher education." Diss., University of Iowa, 2016. https://ir.uiowa.edu/etd/6098.

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This dissertation is a feminist study of conceptualizations of race on one Midwestern university campus. It was inspired by biomedical and population genetic research that seemed to suggest that the consensus that race is a social construction was unravelling in the face of the avalanche of data unleashed by the mapping of the human genome. It draws from feminist theory, science studies, critical race theory, and, importantly, on my many years of teaching to investigate how and for what purposes race is being reconfigured in genetic terms as it is envisioned in research and taught to students.

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Riquelme, Faúndez Edgardo. "Algorithms for l-sections on genus two curves over finite fields and applications." Doctoral thesis, Universitat de Lleida, 2016. http://hdl.handle.net/10803/393881.

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We study \ell-section algorithms for Jacobian of genus two over finite fields. We provide trisection (division by \ell=3) algorithms for Jacobians of genus 2 curves over finite fields \F_q of odd and even characteristic. In odd characteristic we obtain a symbolic trisection polynomial whose roots correspond (bijectively) to the set of trisections of the given divisor. We also construct a polynomial whose roots allow us to calculate the 3-torsion divisors. We show the relation between the rank of the 3-torsion subgroup and the factorization of this 3-torsion polynomial, and describe the fa

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Basile, Carmen Laura. "On the Hasse principle for certain surfaces fibred into curves of genus 1." Thesis, Imperial College London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.405936.

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Wilson, J. "Curves of genus 2 with real multiplication by a square root of 5." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.268031.

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Our aim in this work is to produce equations for curves of genus 2 whose Jacobians have real multiplication (RM) by $\mathbb{Q}(\sqrt{5})$, and to examine the conjecture that any abelian surface with RM by $\mathbb{Q}(\sqrt{5})$ is isogenous to a simple factor of the Jacobian of a modular curve $X_0(N)$ for some $N$. To this end, we review previous work in this area, and are able to use a criterion due to Humbert in the last century to produce a family of curves of genus 2 with RM by $\mathbb{Q}(\sqrt{5})$ which parametrizes such curves which have a rational Weierstrass point. We proceed to gi

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40

Chow, Rudolf Wing Tat. "The arithmetic-geometric mean and periods of curves of Genus 1 and 2." Thesis, University of Sheffield, 2018. http://etheses.whiterose.ac.uk/20887/.

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41

Krug, Sebastian [Verfasser]. "Geometry of moduli spaces of spin and prym curves of small genus / Sebastian Krug." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover (TIB), 2012. http://d-nb.info/1031275002/34.

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42

Bergvall, Olof. "Cohomology of the moduli space of curves of genus three with level two structure." Licentiate thesis, Stockholms universitet, Matematiska institutionen, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-103062.

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In this thesis we investigate the moduli space M3[2] of curves of genus 3 equipped with a symplectic level 2 structure. In particular, we are interested in the cohomology of this space. We obtain cohomological information by decomposing M3[2] into a disjoint union of two natural subspaces, Q[2] and H3[2], and then making S7- resp. S8-equivariantpoint counts of each of these spaces separately.<br>Målet med denna uppsats är att undersöka modulirummet M3[2] av kurvor av genus 3 med symplektisk nivå 2 struktur. Mer specifikt vill vi hitta informationom kohomologin av detta rum. För att uppnå detta

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43

Rovi, Carmen. "Algebraic Curves over Finite Fields." Thesis, Linköping University, Department of Mathematics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-56761.

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<p>This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Since Goppa's construction of algebraic geometric codes, there has been great interest in finding curves with many rational points. Here we explain the main tools for finding rational points on a curve over a nite eld and provide the necessary background on ring and field theory. Four different articles are analyzed, the first of these articles gives a complete set of table showing the numbers of rational points for curves with genus up to 50. The other articles provide interesting constructions

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Salem, Mohamed Mahmoud Ibrahim. "QTLs para características e curva de crescimento em bovinos mestiços leiteiro." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/11/11139/tde-03082010-091917/.

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Este estudo foi realizado para detectar quantitative trait loci (QTL) afetando características e curva de crescimento numa população F2 Holandês x Gir. As características estudadas foram peso ao nascer (BW), peso à desmama (WW), peso aos 205 dias (W205), peso ao sobreano (YW), peso aos 720 dias (W720), ganho de peso diário do nascimento ao desmama (ADG0_60), ganho de peso diário da desmama ao peso aos 205 dias (ADG60_205), ganho de peso diário de peso ao 205 dias ao peso ao sobreano (ADG205_365), ganho de peso diário do sobreano ao peso aos 720 dias (ADG365_720), ganho de peso diário total (AD

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Nualart, Riera Joan. "On the hyperbolic uniformization of Shimura curves with an Atkin-Lehner quotient of genus 0." Doctoral thesis, Universitat de Barcelona, 2016. http://hdl.handle.net/10803/396134.

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The main goal of this thesis is to contribute to the explicit hyperbolic uniformization of Shimura curves. We will restrict to the case of curves attached to Eichler orders in rational quaternion algebras whose maximal Atkin-Lehner quotient has genus 0, which despite multiple differences bears some resemblance to the classical modular case. We will provide an approach to obtain an explicit uniformization of these curves and some of their covers, together with several applications. We will illustrate all the applications with plenty of examples.<br>L’objectiu principal d’aquesta tesi és contrib

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Portioli, Marco. "Kapranov's realization of the moduli spaces of n-pointed stable curves of genus zero and generalizations." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/13662/.

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This work presents an introduction to the geometry of the moduli space M_{0,n} of smooth algebraic curves of genus zero and presents two ways of compactifying it, yielding the space \overline{M}_{0,n}. In his first construction Kapranov, starting from a result by Castelnuovo, compactifies M_{0,n} by means of Veronese curves and their limit positions, yielding boundary divisors. On the other hand, Kapranov compactifies M_{0,n} by iterated blow-up of the projective space P^{n-3} at n-1 points in general position and at all linear spaces spanned by them, yielding exceptional divisors and the hy

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Geiß, Florian [Verfasser], and Frank-Olaf [Akademischer Betreuer] Schreyer. "The unirationality of Hurwitz spaces of hexagonal curves of small genus / Florian Geiß. Betreuer: Frank-Olaf Schreyer." Saarbrücken : Saarländische Universitäts- und Landesbibliothek, 2013. http://d-nb.info/105290470X/34.

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Sagraloff, Michael [Verfasser], and Frank-Olaf [Akademischer Betreuer] Schreyer. "Special linear series and syzygies of canonical curves of genus 9 / Michael Sagraloff. Betreuer: Frank-Olaf Schreyer." Saarbrücken : Saarländische Universitäts- und Landesbibliothek, 2011. http://d-nb.info/1051325900/34.

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Müller, Fabian. "Effective divisors on moduli spaces of pointed stable curves." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2013. http://dx.doi.org/10.18452/16866.

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Diese Arbeit untersucht verschiedene Fragen hinsichtlich der birationalen Geometrie der Modulräume $\Mbar_g$ und $\Mbar_{g,n}$, mit besonderem Augenmerk auf der Berechnung effektiver Divisorklassen. In Kapitel 2 definieren wir für jedes $n$-Tupel ganzer Zahlen $\d$, die sich zu $g-1$ summieren, einen geometrisch bedeutsamen Divisor auf $\Mbar_{g,n}$, der durch Zurückziehen des Thetadivisors einer universellen Jacobi-Varietät mittels einer Abel-Jacobi-Abbildung erhalten wird. Er ist eine Verallgemeinerung verschiedener in der Literatur verwendeten Arten von Divisoren. Wir berechnen d

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Costello, Craig. "Fast formulas for computing cryptographic pairings." Thesis, Queensland University of Technology, 2012. https://eprints.qut.edu.au/61037/1/Craig_Costello_Thesis.pdf.

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The most powerful known primitive in public-key cryptography is undoubtedly elliptic curve pairings. Upon their introduction just over ten years ago the computation of pairings was far too slow for them to be considered a practical option. This resulted in a vast amount of research from many mathematicians and computer scientists around the globe aiming to improve this computation speed. From the use of modern results in algebraic and arithmetic geometry to the application of foundational number theory that dates back to the days of Gauss and Euler, cryptographic pairings have since experie

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