ENGLISH

Arithmetic of Diagonal Hypersurfaces over Finite Fields

By Fernando Q. Gouvea , Noriko Yui

Book information

Publisher
Cambridge University Press
Year
1995
ISBN
0521498341, 9780521498340
LCC
QA641 .G67 1995
Language
english
Format
PDF
Filesize
1 MB (1493524 bytes)
Series
London Mathematical Society Lecture Note Series
Pages
181\181
Scanned
yes
Time added
2010-05-31 15:29:46

Description

There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures in this area are of great interest to researchers in number theory and algebraic geometry. This book deals with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help nonspecialists gain access to the results.

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