Arithmetic of Diagonal Hypersurfaces over Finite Fields

Fernando Q. Gouvea

ISBN 10: 0521498341 / ISBN 13: 9780521498340

Published by Cambridge University Press, 1995

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Bibliographic Details

• Title: Arithmetic of Diagonal Hypersurfaces over Finite Fields
• Publisher: Cambridge University Press
• Publication Date: 1995
• Language: English
• ISBN 10: 0521498341
• ISBN 13: 9780521498340
• Binding: Paperback / softback
• Condition: New
• Weight: 310 grams

About this title

Synopsis

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.

From the Back Cover

There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned 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 non-specialists gain access to the results.