Arithmetic of diagonal hypersurfaces over finite fields
By: Fernando Q. Gouvêa, Noriko Yui.
Contributors: Yui, Noriko.
Series: London Mathematical Society lecture note series ;; 209
Publisher: Cambridge University Press
Published: 1995
Place of publication: Cambridge; New York
Language: eng
Number of pages: 169
Subjects: Hypersurfaces.; Finite fields (Algebra)
Description: 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.
Notes: Includes bibliuographical references (p. 163-166) and index.