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London Mathematical Society Lecture Note Series

Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an;

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Rational Algebraic Curves

prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves.;

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A Primer of Algebraic Geometry

representation theory. Covers affine algebraic sets and the nullstellensatz, polynomial and rational functions, projective algebraic sets. Groebner basis;

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A Primer of Algebraic Geometry

representation theory. Covers affine algebraic sets and the nullstellensatz, polynomial and rational functions, projective algebraic sets. Groebner basis;

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Surveys in Differential Geometry Vol II

This collection of essays on differential geometry includes: the formation of singularities; spaces of algebraic cycles; rational points;

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Local and Global Methods in Algebraic Geometry

theory, hyper-Kahler geometry, rational points, and rational curves.;

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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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Arithmetic Of Elliptic Curves

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study;

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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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The Arithmetic of Elliptic Curves

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study;

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Algebraic Curves and Their Applications

This volume contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided;

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Algebraic Curves in Cryptography

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas;

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Algebraic Curves over a Finite Field

This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has;

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Computational Aspects Of Algebraic Curves

of algebraic geometry. The main goal of this book is to highlight such computational techniques related to algebraic curves. The area of research;

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Rational Points and Arithmetic of Fundamental Groups

Brauer-Manin obstruction is the only one against rational points on curves. This monograph begins by laying the foundations for the space;

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Complex Algebraic Curves

Complex algebraic curves were developed in the nineteenth century. They have many fascinating properties and crop up in various areas;

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Rigid Geometry of Curves and Their Jacobians

This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves;

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Algebraic Geometry III: Complex Algebraic Varieties Algebraic Curves and Their Jacobians

the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion;

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Algebraic Geometry III: Complex Algebraic Varieties Algebraic Curves and Their Jacobians

the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion;

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Cambridge Tracts in Mathematics

The classical descent on curves of genus one can be interpreted as providing conditions on the set of rational points of an algebraic;

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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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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 In East Asia -- Hanoi 2005

touched upon in this volume include: Zariski pairs, rational homogeneous manifolds, Kummer surfaces, singularity theory, Cremona groups, algebraic;

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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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Plane Algebraic Curves

This book introduces the contemporary notions of algebraic varieties, morphisms of varieties, and adeles to the classical subject of plane;

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Algebraic Curves

This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades;

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Plane Algebraic Curves

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