Arithmetic of diagonal hypersurfaces over finite fields [E-Book] / Fernando Q. Gouvêa, Noriko Yui.
Gouvêa, Fernando Q., (author)
Yui, Noriko, (author)
Cambridge : Cambridge University Press, 1995
1 online resource (xi, 169 pages)
englisch
9780511526060
9780521498340
London Mathematical Society lecture note series ; 209
Full Text
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.