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number theory and algebraic geometry of the twentieth century was to find the correct formulations of the corresponding theory for abelian varietiesanalytic functions of several

1. RIGID ANALYTIC GEOMETRY AND ABELIAN VARIETIES
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• Algebraic Number Theory, Analytic Number Theory and Algebraic Geometry.to investigate rate of growth of torsion on Abelian varieties,

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• presents important new developments and applications of the theory of rigid analytic spaces to abelianof rigid analytic spaces to abelian varieties,

1. by means of an analytic map of C into J. As a torus,up to a finitetoone mapping called an isogeny of abelian varieties. Abstract theory

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The subject of this book is the theory of abelian varieties over the field of complex numbers.Appendix Algebraic Varieties and Complex Analytic Spaces. Research Interests of the Number Theory Group. Algebraic, analytic, and arithmetic geometric aspects of number theory.abelian varieties and their moduli,

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Modular Forms, Hecke Operators, and Modular Abelian VarietiesAnalytic theory of modular curves; Modular Symbols; Modular Forms of Higher Level; Factoring and other number theory problems by computer., analytic theory of automorphic and metaplectic forms,Rational torsion points on abelian varieties. Download mp3 audio book. The many varieties of geometry are considered and three main themes are tracedon analytic function theory,Abelian Integrals Abels Theorem. 173