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Complex Tori and Abelian Varieties

This graduate-level textbook introduces the classical theory of complex tori and abelian varieties, while presenting in parallel more;

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Complex Multiplication and Lifting Problems

Abelian varieties with complex multiplication lie at the origins of class field theory, and they play a central role in the contemporary;

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Abelian Varieties

results about abelian varieties. It includes expositions of analytic methods applicable over the ground field of complex numbers, as well as;

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Arithmetic Compactifications of PEL-Type Shimura Varieties

accessible to graduate students who have an understanding of schemes and abelian varieties. PEL-type Shimura varieties, which are natural;

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Abelian Varieties with Complex Multiplication and Modular Functions

laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. This;

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Compactifying Moduli Spaces for Abelian Varieties

The problem of compactifying the moduli spaceA of principally polarized g abelian varieties has a long and rich history. The majority;

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Diophantine Approximation and Abelian Varieties

varieties , Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and;

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Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

surfaces, group actions on surfaces and topological properties of moduli spaces of complex curves and Abelian varieties.;

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Geometry of Moduli

in algebraic geometry, and this is reflected in the list of moduli spaces addressed in this volume: sheaves on varieties, symmetric tensors, abelian;

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Hodge Theory and Complex Algebraic Geometry II

of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving;

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Hodge Theory and Complex Algebraic Geometry II

abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful;

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Algebraic And Arithmetic Structures Of Moduli Spaces (Sapporo 2007)

of complex vector bundles, moduli of abelian varieties and theory of display, moduli of Fermat varieties and some topics on cubic threefolds. Among;

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London Mathematical Society Lecture Note Series

of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical;

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Rigid Geometry of Curves and Their Jacobians

, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey;

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Introduction to Arithmetic Theory of Automorphic Functions

associate zeta functions to modular forms. At a more advanced level, complex multiplication of elliptic curves and abelian varieties is discussed;

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Algebraic Varieties And Automorphism Groups

This volume is the proceedings of the workshop on 'Algebraic Varieties and Automorphism Groups' which was held at RIMS, Kyoto University;

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Riemann Surfaces and Generalized Theta Functions

varieties) has long been basic to the study both of Riemann surfaces and of complex tori. A Riemann surface is naturally imbedded as an analytic;

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Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)

, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given;

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Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)

, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given;

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Number Theory and Algebraic Geometry

Abelian and Fano varieties.;

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A Celebration of Algebraic Geometry

, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and;

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Algebraic Curves and Cryptography

finite Abelian groups and that algebraic geometry provides a supply of such groups through Abelian varieties over finite fields. Of special;

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Topics In Complex Function Theory

theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular;

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An Invitation to Web Geometry

This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web;

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Lectures on Riemann Surfaces - Jacobi Varieties

chiefly by one-dimensional methods, the more detailed analysis presented here requires the use of various properties of Jacobi varieties and;

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Lectures on Riemann Surfaces - Jacobi Varieties

chiefly by one-dimensional methods, the more detailed analysis presented here requires the use of various properties of Jacobi varieties and;

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Geometry, Algebra, Number Theory, and Their Information Technology Applications

-functions Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties;

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