Arithmetic of Diagonal Hypersurfaces Over Finite Fields Fernando Q. Gouvêa

ISBN: 9780511893094

Published: February 1st 2011

ebook

184 pages


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Arithmetic of Diagonal Hypersurfaces Over Finite Fields  by  Fernando Q. Gouvêa

Arithmetic of Diagonal Hypersurfaces Over Finite Fields by Fernando Q. Gouvêa
February 1st 2011 | ebook | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 184 pages | ISBN: 9780511893094 | 4.37 Mb

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 theMoreThere 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.



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