| Description |
1 online resource (xi, 169 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
London Mathematical Society lecture note series ; 209
|
|
London Mathematical Society lecture note series ; 209.
|
| Bibliography |
Includes bibliographical references (pages 163-166) and index. |
| Contents |
1. Twisted Jacobi sums -- 2. Cohomology groups of V = V[actual symbol not reproducible](c) -- 3. Twisted Fermat motives -- 4. The inductive structure and the Hodge and Newton polygons -- 5. Twisting and the Picard number -- 6. "Brauer numbers" of twisted Fermat motives -- 7. Evaluating Q(V, T) at T = q[superscript -r] -- 8. The Lichtenbaum-Milne conjecture -- 9. Remarks, observations and open problems -- B How to compute the stable Picard number when m is prime. |
| Summary |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Hypersurfaces.
|
|
Hypersurfaces. |
|
Finite fields (Algebra)
|
|
Finite fields (Algebra) |
| Genre/Form |
Electronic books.
|
| Added Author |
Yui, Noriko.
|
| Other Form: |
Print version: Gouvêa, Fernando Q. (Fernando Quadros). Arithmetic of diagonal hypersurfaces over finite fields. Cambridge ; New York : Cambridge University Press, 1995 0521498341 (DLC) 94023790 (OCoLC)31518624 |
| ISBN |
9781107362239 (electronic book) |
|
1107362237 (electronic book) |
|
9780511526060 (e-book) |
|
0511526067 (e-book) |
|
0521498341 |
|
9780521498340 |
|
