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Algebraic Geometry Codes

of mathematics. On one hand, it involves such classical areas as algebraic geometry and number theory; on the other, it is connected to information;

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Lectures on Logarithmic Algebraic Geometry

analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the;

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Arithmetic Differential Equations

. For most of the book, the only prerequisites are the basic facts of algebraic geometry and algebraic number theory. It is suitable for;

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Noncommutative Geometry

This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The;

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Algebraic Curves and Their Applications

a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding;

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The Geometry of Algebraic Cycles

Examines algebraic cyclesand the impact they have had on a variety of fields of mathematics, including number theory, algebraic geometry;

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Undergraduate Algebraic Geometry

algebra as well as its relation to topology, differential geometry, and number theory. The book contains numerous examples and exercises;

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Algebraic K-Theory

Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and;

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Finite Fields

in number theory, algebra, and algebraic geometry. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.;

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Arakelov Geometry and Diophantine Applications

interested in the connections between algebraic geometry and number theory. The prerequisites are some knowledge of number theory and algebraic;

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Galois Representations in Arithmetic Algebraic Geometry

title was interpreted loosely and the symposium covered recent developments on the interface between algebraic number theory and arithmetic;

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Number Theory and Algebraic Geometry

in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse;

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Algebraic Geometry, Volume 3

in algebraic geometry. In this volume, the author goes beyond introductory notions and presents the theory of schemes and sheaves with the goal;

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Analytic Number Theory

, using results from algebraic geometry and the geometry of numbers; the theory of Siegel's zeros and of exceptional characters of L-functions;

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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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Computation with Linear Algebraic Groups

algebraic geometry, and computational group theory, as well as those looking for a concise introduction to the theory of linear algebraic groups.;

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Surveys in Geometry and Number Theory

specialists who are associated with strong research groups in Moscow and St. Petersburg in the fields of algebraic geometry and number theory. Their;

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Noncommutative Algebraic Geometry

There are many interactions between noncommutative algebra and representation theory on the one hand and classical algebraic geometry on;

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Euler Systems. (AM-147), Volume 147

One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler;

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Algebraic Geometry for Associative Algebras

This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and;

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London Mathematical Society Lecture Note Series

geometry, algebraic number theory or automorphic forms.;

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Advances in Commutative Ring Theory

interest. Examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry.;

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Algebraic Curves over a Finite Field

theory, error-correcting codes, and cryptology. Unlike other books, this one emphasizes the algebraic geometry rather than the function field;

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Noncommutative Geometry

key concepts of noncommutative geometry and its applications in topology, algebraic geometry, and number theory. Our presentation;

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Local and Global Methods in Algebraic Geometry

This volume contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held from May 12-15, 2016, at the;

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Introduction To Algebraic Coding Theory

of applications including e-mail, telephone, and remote sensing (for example, photographs of Mars).An expert in algebra and algebraic geometry, Tzuong;

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Noncommutative Algebra and Geometry

algebraic groups and representations, algebraic number theory, rings, and modules, are a timely distillation of recent work in the field. Featuring;

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