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Algebraic Curves over Finite Fields

✍ Scribed by Carlos Moreno


Publisher
Cambridge University Press
Year
1991
Tongue
English
Leaves
257
Series
CTM 097
Category
Library

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Algebraic Curves over Finite Fields
✍ Carlos Moreno πŸ“‚ Library πŸ“… 1991 πŸ› Cambridge University Press 🌐 English

In this tract, Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the theory of algebraic geometric Goppa codes on algebraic curves. Among the applications considered are: the problem of counting the number of solutions o

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<p>This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correc

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<p>This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correc

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<P>Finite-Dimensional Division Algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensional algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brauer-Severi varieties. The book concentrates on those algebras t

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<p><P>Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensio= nal algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brau= er-Severi varieties. The book concentrates on those alg

Finite-Dimensional Division Algebras ove
✍ Nathan Jacobson (auth.) πŸ“‚ Library πŸ“… 1996 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p><P>Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensio= nal algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brau= er-Severi varieties. The book concentrates on those alg