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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

By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models;

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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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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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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

The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper Diophantine approximation on abelian;

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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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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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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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Algebraic Varieties And Automorphism Groups

cylinders, etc.), algebraic group actions on algebraic varieties (actions of additive group, unipotent group, semi-abelian variety, etc;

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Algebraic Curves and Cryptography

provides a supply of such groups through Abelian varieties over finite fields. Of special interest are the Abelian varieties that are Jacobians;

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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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Number Theory and Algebraic Geometry

Abelian and Fano varieties.;

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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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The Gross-Zagier Formula on Shimura Curves

abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and;

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The Gross-Zagier Formula on Shimura Curves

abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and;

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London Mathematical Society Lecture Note Series

The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic;

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Higher Dimensional Birational Geometry

of abelian surfaces, rational curves on algebraic varieties, 3-dimensional flips, and the theory of elliptic fibrations. The authors - including a;

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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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O Minimality & Diophantine Geometry

and model theoretic aspects of the subject. These include Martin Orr's survey of abelian varieties, Christopher Daw's introduction to Shimura;

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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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Abelian Groups

developments in the most active areas of abelian groups, particularly in torsion-free abelian groups.;For both researchers and graduate students, it;

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Algebraic Geometry

algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic;

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Abelian Groups

This monograph covers in a comprehensive manner the current state of classification theory with respect to infinite abelian groups. A wide;

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Number Theory Related to Modular Curves

of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian;

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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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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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