Arithmetic of diagonal hypersurfaces over finite fields /

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, w...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Gouvêa, Fernando Q. (Fernando Quadros)
Other Authors: Yui, Noriko
Format: Electronic eBook
Language:Inglés
Published: Cambridge ; New York : Cambridge University Press, 1995.
Series:London Mathematical Society lecture note series ; 209.
Subjects:
Hypersurfaces.
Finite fields (Algebra)
Corps finis.
MATHEMATICS > Geometry > Algebraic.
Galois-Feld
Hyperfläche
Hypervlakken.
Online Access:Texto completo
Table of 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.

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