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Book Cover
E-book
Author Gouvêa, Fernando Q. (Fernando Quadros)

Title Arithmetic of diagonal hypersurfaces over finite fields / Fernando Q. Gouvêa, Noriko Yui
Published Cambridge ; New York : Cambridge University Press, 1995

Copies

Description 1 online resource (xi, 169 pages) : illustrations
Series London Mathematical Society lecture note series ; 209
London Mathematical Society lecture note series ; 209.
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
Bibliography Includes bibliographical references (pages 163-166) and index
Notes Print version record
Subject Hypersurfaces.
Finite fields (Algebra)
MATHEMATICS -- Geometry -- Algebraic.
Finite fields (Algebra)
Hypersurfaces
Galois-Feld
Hyperfläche
Hypervlakken.
Hypersurfaces.
Corps finis.
Form Electronic book
Author Yui, Noriko
LC no. 94023790
ISBN 9781107362239
1107362237
9780511526060
0511526067