Algebraic Curves over a Finite Field

Language: English

Published by Princeton University Press, 2008

0691096791 / 9780691096797

Series: Book 18 of 33 - Princeton Series in Applied Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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-correcting codes, and cryptology. Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves. The authors begin by developing the general theory of curves over any field, highlighting peculiarities occurring for positive characteristic and requiring of the reader only basic knowledge of algebra and geometry. The special properties that a curve over a finite field can have are then discussed. The geometrical theory of linear series is used to find estimates for the number of rational points on a curve, following the theory of Stöhr and Voloch. The approach of Hasse and Weil via zeta functions is explained, and then attention turns to more advanced results: a state-of-the-art introduction to maximal curves over finite fields is provided; a comprehensive account is given of the automorphism group of a curve; and some applications to coding theory and finite geometry are described. The book includes many examples and exercises. It is an indispensable resource for researchers and the ideal textbook for graduate students.…

Seller Inventory # 9780691096797

Title
Algebraic Curves over a Finite Field
Author
Gabor Korchmaros
Publisher
Princeton University Press
Publication year
2008
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0691096791
ISBN 13
9780691096797
Item weight
1,230 grams
Dimensions
240x161x43 mm
Series
Book 18 of 33: Princeton Series in Applied Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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