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Arithmetic of Diagonal Hypersurfaces over Finite Fields.
・ISBN 978-0-521-49834-0 paper GB£ 50.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-52606-0
| 著者・編者 | Gouvea, Fernando Q. / Yui, Noriko, |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1995 |
| ページ数 | 184 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-8803＞ |
解説
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.