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Arithmetic Geometry over Global Function Fields

of them deal with characteristic p global fields; the common theme around which they are centered is the arithmetic of L-functions (and other;

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Arithmetic and Geometry over Local Fields

Arithmetic and geometry of local and global fields which took place at the Vietnam Institute of Advanced Study in Mathematics (VIASM) from June to;

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Arithmetic of Diagonal Hypersurfaces over Finite Fields

of great interest to researchers in number theory and algebraic geometry. This book is concerned with the arithmetic of diagonal hypersurfaces;

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Arithmetic Of Elliptic Curves

. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry;

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The Arithmetic of Elliptic Curves

. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry;

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The Arithmetic of Elliptic Curves

. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and;

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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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Arithmetic Geometry And Number Theory

of global arithmetic that includes non-abelian Class Field Theory, Riemann Hypothesis and non-abelian Zeta and L Functions, etc.;

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Finite Fields and their Applications

The volume covers wide-ranging topics from Theory: structure of finite fields, normal bases, polynomials, function fields, APN functions;

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Basic Structures of Function Field Arithmetic

From the reviews: The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a;

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Arithmetic Geometry

For thirty years, the biennial international conference AGC$^2$T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought;

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

arithmetic Chow groups of M . The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue;

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The Brauer-Grothendieck Group

applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and;

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Introductory Notes on Valuation Rings and Function Fields in One Variable

and important viewpoint in algebraic geometry, especially concerning the theory of algebraic curves and their function fields. The;

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Global Differential Geometry

This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview;

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Algebraic Geometry in Coding Theory and Cryptography

applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field;

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Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

Arithmetic Geometry, held on January 8, 2016, in Seattle, Washington. Algebraic curves and their fibrations have played a major role in both;

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Quaternion Algebras

functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unit;

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Quaternion Algebras

functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unit;

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Algebraic And Arithmetic Structures Of Moduli Spaces (Sapporo 2007)

talks were delivered by invited speakers on arithmetic geometry, algebraic geometry and complex geometry. This volume is the proceedings of the;

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Complex Multiplication and Lifting Problems

arithmetic of abelian varieties, such as the Main Theorem of Complex Multiplication and its generalisations, the finer aspects of Tate's work on;

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Lectures on Logarithmic Algebraic Geometry

cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related;

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Noncommutative Geometry

Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. This book covers the;

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Arithmetic of Higher-Dimensional Algebraic Varieties

in arithmetic applications, specialists in arithmetic geometry itself, and graduate students wishing to pursue research in this area.;

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Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces

. Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces is an ideal resource for graduate students and researchers in number;

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Geometry, Analysis and Probability

of mathematics in the areas of control theory, mathematical physics and arithmetic geometry. Contributions by: K. Behrend N. Bergeron S. K;

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