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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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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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Algebraic Geometry

, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann-Roch theorem;

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Algebraic Curves over Finite Fields

In this Tract Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first;

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Algebraic Curves and Cryptography

finite Abelian groups and that algebraic geometry provides a supply of such groups through Abelian varieties over finite fields. Of special;

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Algebraic Geometry in Coding Theory and Cryptography

detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay;

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Algebraic Geometry And Its Applications

elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions;

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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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Algebraic Geometry Codes

Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a subject related to several domains;

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Arithmetic Of Elliptic Curves

of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and;

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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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Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59

curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and;

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Introduction to Compact Riemann Surfaces and Dessins d'Enfants

of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups;

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Introduction To Compact Riemann Surfaces And Dessins D'Enfan

of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups;

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The Arithmetic of Elliptic Curves

of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and;

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LMSST

of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory;

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London Mathematical Society Student Texts

of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory;

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Handbook of Finite Fields

fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes;

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Geometry and Interpolation of Curves and Surfaces

This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many;

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Geometry and Interpolation of Curves and Surfaces

This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many;

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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 Geometry for Beginners

detailed treatment of algebraic plane curves with a special emphasis on elliptic curves and their birational classification. The role played by;

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Algebraic Geometry & Arithmetic Curves

projective curves over a field. Singular curves are treated through a detailed study of the Picard group. The second part starts with blowing;

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Algebraic Curves in Cryptography

of algebraic curves in a range of cryptographic applications, such as secret sharing, frameproof codes, and broadcast encryption. Suitable for;

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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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Plane Algebraic Curves

curves over algebraically closed fields. It is useful for advanced undergraduate and beginning graduate students in mathematics.;

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The Large Sieve and Its Applications

, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials;

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