Relevant bibliographies by topics / Arithmetic geometry

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Arithmetic geometry'

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

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Journal articles on the topic "Arithmetic geometry"

1

Faltings, Gerd, and Johan de Jong. "Arithmetic Geometry." Oberwolfach Reports 9, no. 3 (2012): 2335–88. http://dx.doi.org/10.4171/owr/2012/38.

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Faltings, Gerd, Johan de Jong, and Peter Scholze. "Arithmetic Geometry." Oberwolfach Reports 13, no. 3 (2016): 2171–224. http://dx.doi.org/10.4171/owr/2016/38.

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Faltings, Gerd, Johan de Jong, and Peter Scholze. "Arithmetic Geometry." Oberwolfach Reports 17, no. 2 (2021): 1023–82. http://dx.doi.org/10.4171/owr/2020/20.

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Brown, M. L. "ARITHMETIC GEOMETRY." Bulletin of the London Mathematical Society 19, no. 6 (1987): 628–31. http://dx.doi.org/10.1112/blms/19.6.628.

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Bhatt, Bhargav, Ana Caraiani, Gerd Faltings, and Peter Scholze. "Arithmetic Geometry." Oberwolfach Reports 21, no. 3 (2025): 1855–912. https://doi.org/10.4171/owr/2024/33.

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Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their p -adic completions. The talks covered a wide range of topics including the categorical Langlands program, Shimura varieties, complex and p -adic Hodge theory, homotopy theory, and Diophantine geometry.
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Rojas, J. Maurice. "Computational Arithmetic Geometry." Journal of Computer and System Sciences 62, no. 2 (2001): 216–35. http://dx.doi.org/10.1006/jcss.2000.1728.

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Schwarz, A., and I. Shapiro. "Supergeometry and arithmetic geometry." Nuclear Physics B 756, no. 3 (2006): 207–18. http://dx.doi.org/10.1016/j.nuclphysb.2006.08.024.

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Zuo, Kang. "Stability, geometry and arithmetic." Notices of the International Congress of Chinese Mathematicians 7, no. 1 (2019): 100. http://dx.doi.org/10.4310/iccm.2019.v7.n1.a34.

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Jannsen, Uwe. "Weights in arithmetic geometry." Japanese Journal of Mathematics 5, no. 1 (2010): 73–102. http://dx.doi.org/10.1007/s11537-010-0947-4.

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Baldwin, John T., and Andreas Mueller. "Autonomy of Geometry." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 11 (February 5, 2020): 5–24. http://dx.doi.org/10.24917/20809751.11.1.

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In this paper we present three aspects of the autonomy of geometry. (1) An argument for the geometric as opposed to the ‘geometric algebraic’ interpretation of Euclid’s Books I and II; (2) Hilbert’s successful project to axiomatize Euclid’s geometry in a first order geometric language, notably eliminating the dependence on the Archimedean axiom; (3) the independent conception of multiplication from a geometric as opposed to an arithmetic viewpoint.
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Dissertations / Theses on the topic "Arithmetic geometry"

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

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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
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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.

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

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

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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
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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.

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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.

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

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

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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
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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.

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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
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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.

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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
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Books on the topic "Arithmetic geometry"

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Childress, Nancy, and John W. Jones, eds. Arithmetic Geometry. American Mathematical Society, 1994. http://dx.doi.org/10.1090/conm/174.

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Colliot-Thélène, Jean-Louis, Peter Swinnerton-Dyer, and Paul Vojta. Arithmetic Geometry. Edited by Pietro Corvaja and Carlo Gasbarri. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15945-9.

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Cornell, Gary, and Joseph H. Silverman, eds. Arithmetic Geometry. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8655-1.

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Gary, Cornell, Silverman Joseph H. 1955-, and Artin Michael, eds. Arithmetic geometry. Springer-Verlag, 1986.

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1965-, Darmon Henri, ed. Arithmetic geometry. American Mathematical Society, 2009.

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Colliot-Thélène, J. L. Arithmetic algebraic geometry. Edited by Kato K, Vojta Paul 1957-, Ballico E. 1955-, and Centro internazionale matematico estivo. Springer-Verlag, 1993.

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Faber, Carel, Gavril Farkas, and Robin de Jong, eds. Geometry and Arithmetic. European Mathematical Society Publishing House, 2012. http://dx.doi.org/10.4171/119.

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van der Geer, G., F. Oort, and J. Steenbrink, eds. Arithmetic Algebraic Geometry. Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4612-0457-2.

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Colliot-Thélène, Jean-Louis, Kazuya Kato, and Paul Vojta. Arithmetic Algebraic Geometry. Edited by Edoardo Ballico. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/bfb0084727.

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Dieulefait, Luis V., Gerd Faltings, D. R. Heath-Brown, Yu V. Manin, Boris Z. Moroz, and Jean-Pierre Wintenberger, eds. Arithmetic and Geometry. Cambridge University Press, 2015. http://dx.doi.org/10.1017/cbo9781316106877.

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Book chapters on the topic "Arithmetic geometry"

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Stillwell, John. "Arithmetic." In Numbers and Geometry. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0687-3_1.

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Faltings, Gerd. "Some Historical Notes." In Arithmetic Geometry. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8655-1_1.

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Silverman, Joseph H. "Heights and Elliptic Curves." In Arithmetic Geometry. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8655-1_10.

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Artin, M. "Lipman’s Proof of Resolution of Singularities for Surfaces." In Arithmetic Geometry. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8655-1_11.

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Chinburg, T. "An Introduction to Arakelov Intersection Theory." In Arithmetic Geometry. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8655-1_12.

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Chinburg, T. "Minimal Models for Curves over Dedekind Rings." In Arithmetic Geometry. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8655-1_13.

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Gross, Benedict H. "Local Heights on Curves." In Arithmetic Geometry. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8655-1_14.

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Vojta, Paul. "A Higher Dimensional Mordell Conjecture." In Arithmetic Geometry. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8655-1_15.

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Cornell, Gary, and Joseph H. Silverman. "Erratum to: Erratum." In Arithmetic Geometry. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8655-1_16.

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Faltings, Gerd. "Finiteness Theorems for Abelian Varieties over Number Fields." In Arithmetic Geometry. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8655-1_2.

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Conference papers on the topic "Arithmetic geometry"

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Liu, Xingtu. "A Note on Arithmetic–Geometric Mean Inequality for Well-Conditioned Matrices." In 2025 59th Annual Conference on Information Sciences and Systems (CISS). IEEE, 2025. https://doi.org/10.1109/ciss64860.2025.10944733.

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Marcolli, Matilde. "Noncommutative Geometry and Arithmetic." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0135.

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Vazquez-Castro, M. A. "Arithmetic geometry of compute and forward." In 2014 IEEE Information Theory Workshop (ITW). IEEE, 2014. http://dx.doi.org/10.1109/itw.2014.6970805.

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Fortune, Steven, and Christopher J. Van Wyk. "Efficient exact arithmetic for computational geometry." In the ninth annual symposium. ACM Press, 1993. http://dx.doi.org/10.1145/160985.161015.

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Brönnimann, Hervé, Christoph Burnikel, and Sylvain Pion. "Interval arithmetic yields efficient dynamic filters for computational geometry." In the fourteenth annual symposium. ACM Press, 1998. http://dx.doi.org/10.1145/276884.276903.

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Min, Yixing, Rao Peng, Litian Huang, Xiaopan Lyu, and Xinguo Yu. "Geometry Arithmetic Problem Recommendation Based on Scene-Enhanced BERT." In 2023 International Conference on Intelligent Education and Intelligent Research (IEIR). IEEE, 2023. http://dx.doi.org/10.1109/ieir59294.2023.10391228.

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Duff, Tom. "Interval arithmetic recursive subdivision for implicit functions and constructive solid geometry." In the 19th annual conference. ACM Press, 1992. http://dx.doi.org/10.1145/133994.134027.

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Kalla, Priyank. "Formal verification of arithmetic datapaths using algebraic geometry and symbolic computation." In 2015 Formal Methods in Computer-Aided Design (FMCAD). IEEE, 2015. http://dx.doi.org/10.1109/fmcad.2015.7542240.

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Sun, Xiaojun, Priyank Kalla, Tim Pruss, and Florian Enescu. "Formal Verification of Sequential Galois Field Arithmetic Circuits Using Algebraic Geometry." In Design, Automation and Test in Europe. IEEE Conference Publications, 2015. http://dx.doi.org/10.7873/date.2015.0158.

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Li, Y., D. H. Kim, A. Kostrzewski, and George Eichmann. "Optoelectronic content addressable memory-based modified signed digit arithmetic." In OSA Annual Meeting. Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.tumm3.

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The modified signed digit (MSD) number system offers inherent low interdigit dependence for arithmetic processing. Recently, using both optical logic and memory based approaches, various optical MSD arithmetic schemes were proposed. For the logic based optical MSD arithmetic, an existing approach implements a three-stage processing algorithm with either a symbolic substitution processor or some binary logic elements, such as bistable etalons. Because of the use of multiple processing stages, the required computing energy and its speed is sacrificed. The optical memory based approach, on the ot
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Reports on the topic "Arithmetic geometry"

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Hernández Agramonte, Juan Manuel, Caitlin Ludlow, Emma Näslund-Hadley, and Ernesto Martínez. IDB Briefly Noted: No. 20 : September, 2012: The Making of Little Mathematicians: Fostering Early Math Understanding in Paraguay. Inter-American Development Bank, 2012. http://dx.doi.org/10.18235/0008199.

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That four- and five-year-olds can do algebra, arithmetic, and geometry may be hard to believe. But if you visit a preschool classroom in the Cordillera region of Paraguay, you will see children who learn factoring by organizing balls and sticks into groups, and who work together to form pentagons and hexagons with their bodies. These children are participating in a project called "Tikichuela, Mathematics in My School", the result of a partnership between the Japanese and Paraguayan governments, the Organization of Ibero-American States (OEI), and the Inter-American Development Bank (IDB). The
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Chauhan, Vinod. L52294 Corrosion Assessment Guidance for High Strength Steels. Pipeline Research Council International, Inc. (PRCI), 2009. http://dx.doi.org/10.55274/r0010319.

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For the burst tests on high strength line pipe investigated in this report, standard assessment methods used by the pipeline industry generally give conservative failure predictions. For a small number of test points the ASME B31G, Modified ASME B31G and the LPC-1 methods gave non-conservative failure predictions when used to assess defect depths greater than 50% of the pipe wall. However, for machined defects, particularly those that are rectangular flat bottomed patches the use of ASME B31G and Modified ASME B31G to predict failure pressures may be inappropriate because the area of metal los
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Schattschneider, Doris. Proof without Words: The Arithmetic Mean-Geometric Mean Inequality. The MAA Mathematical Sciences Digital Library, 2010. http://dx.doi.org/10.4169/capsules003370.

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Schattschneider, Doris. Proof without Words: The Arithmetic Mean-Geometric Mean Inequality. The MAA Mathematical Sciences Digital Library, 2010. http://dx.doi.org/10.4169/capsules003372.

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Akbari, Chirag, Ninad Gore, and Srinivas Pulugurtha. Understanding the Effect of Pervasive Events on Vehicle Travel Time Patterns. Mineta Transportation Institute, 2023. http://dx.doi.org/10.31979/mti.2023.2319.

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The COVID-19 pandemic has disrupted daily activities and travel patterns, affecting personal and commercial trips. This study investigates the effect of different stages of the pandemic on travel time patterns. Eighty-six geographically distributed links (sections of road) in Mecklenburg County and Buncombe County, North Carolina, were selected for analysis. The selected links accounted for the variation in road geometry, land use, and speed limit. Travel time data for three years (i.e., 2019, 2020, and 2021) were extracted from a private data source at 5-min intervals. Travel time reliability
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Saltus, Christina, Todd Swannack, and S. McKay. Geospatial Suitability Indices Toolbox (GSI Toolbox). Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41881.

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Habitat suitability models are widely adopted in ecosystem management and restoration, where these index models are used to assess environmental impacts and benefits based on the quantity and quality of a given habitat. Many spatially distributed ecological processes require application of suitability models within a geographic information system (GIS). Here, we present a geospatial toolbox for assessing habitat suitability. The Geospatial Suitability Indices (GSI) toolbox was developed in ArcGIS Pro 2.7 using the Python® 3.7 programming language and is available for use on the local desktop i
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Saltus, Christina, S. McKay, and Todd Swannack. Geospatial suitability indices (GSI) toolbox : user's guide. Engineer Research and Development Center (U.S.), 2022. http://dx.doi.org/10.21079/11681/45128.

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Habitat suitability models have been widely adopted in ecosystem management and restoration to assess environmental impacts and benefits according to the quantity and quality of a given habitat. Many spatially distributed ecological processes require application of suitability models within a geographic information system (GIS). This technical report presents a geospatial toolbox for assessing habitat suitability. The geospatial suitability indices (GSI) toolbox was developed in ArcGIS Pro 2.7 using the Python 3.7 programming language and is available for use on the local desktop in the Window
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