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Arithmetic Compactifications of PEL-Type Shimura Varieties

of all PEL-type Shimura varieties, providing the logical foundation for several exciting recent developments. The book is designed to be;

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Compactifications of Pel-Type Shimura Varieties and Kuga Families with Ordinary Loci

This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura;

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Galois Representations in Arithmetic Algebraic Geometry

attention, e.g. Erez on geometric trends in Galois module theory; Mazur on rational points on curves and varieties; Moonen on Shimura 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;

Vergelijkbare producten zoals Geometry, Algebra, Number Theory, and Their Information Technology Applications

Complex Multiplication and Lifting Problems

theory of Shimura varieties. They are special in characteristic 0 and ubiquitous over finite fields. This book explores the relationship between;

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Modular Forms and Special Cycles on Shimura Curves. (AM-161)

divisors and zero-cycles, on the arithmetic surface M attached to a Shimura curve M over the field of rational numbers. These generating;

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p-Adic Automorphic Forms on Shimura Varieties

study of Shimura varieties via L-functions and Eisenstein series (for which I visited lAS). Although it took more than 15 years, we now know (at;

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Arithmetic and Geometry

-provide an introduction to high-level research on three topics: Shimura varieties, hyperelliptic continued fractions and generalized Jacobians;

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Arithmetic and Geometry

-provide an introduction to high-level research on three topics: Shimura varieties, hyperelliptic continued fractions and generalized Jacobians;

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Intersections of Hirzebruch-Zagier Divisors and CM Cycles

information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series;

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Abelian Varieties with Complex Multiplication and Modular Functions

of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity;

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The Gross-Zagier Formula on Shimura Curves

incoherent automorphic representations with rational coefficients attached naturally to abelian varieties parametrized by Shimura curves. This;

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The Gross-Zagier Formula on Shimura Curves

incoherent automorphic representations with rational coefficients attached naturally to abelian varieties parametrized by Shimura curves. This;

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Period Spaces for p-divisible Groups (AM-141), Volume 141

general Shimura varieties are established. The exposition includes background material on Grothendieck's mysterious functor (Fontaine theory;

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Period Mappings and Period Domains

of Shimura varieties.;

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Period Mappings and Period Domains

of Shimura varieties.;

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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands;

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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands;

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Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108

This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study;

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Arithmetic of Higher-Dimensional Algebraic Varieties

of higher dimensional varieties. Recently, it has become clear that ideas from many branches of mathematics can be successfully employed in the;

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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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Arithmetic and Geometry

The 'Arithmetic and Geometry' trimester, held at the Hausdorff Research Institute for Mathematics in Bonn, focussed on recent work on;

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Shimura Varieties

This is the second volume of a series of mainly expository articles on the arithmetic theory of automorphic forms. It forms a sequel to On;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties;

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Calabi Yau Varieties Arithmetic Geometry and Physics

This volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi-Yau varieties and string;

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Selected Papers from the Journal of Differential Geometry 1967-2017, Volume 2

of these subjects. The subject matter ranges from the birational geometry of varieties, to geometric structures of moduli spaces in algebraic and;

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