Arithmetic of diagonal hypersurfaces over finite fields [EBook] / Fernando Q. Gouvêa, Noriko Yui.
Arithmetic of diagonal hypersurfaces over finite fields [EBook] / Fernando Q. Gouvêa, Noriko Yui.
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...
Personal Name(s):  Gouvêa, Fernando Q., (author) 

Yui, Noriko, (author)  
Imprint: 
Cambridge :
Cambridge University Press,
1995

Physical Description: 
1 online resource (xi, 169 pages) 
Note: 
englisch 
ISBN: 
9780511526060 9780521498340 
Series Title: 
London Mathematical Society lecture note series ;
209 
Subject (LOC):  
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 LichtenbaumMilne conjecture
 9. Remarks, observations and open problems
 B How to compute the stable Picard number when m is prime.