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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gouvêa, Fernando Q. (Fernando Quadros)
Otros Autores: Yui, Noriko
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1995.
Colección:London Mathematical Society lecture note series ; 209.
Temas:
Hypersurfaces.
Finite fields (Algebra)
Corps finis.
MATHEMATICS > Geometry > Algebraic.
Galois-Feld
Hyperfläche
Hypervlakken.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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