LMS: 209 Arithmetic Diagnol Hypersf - Brossura

Gouv¿a, Fernando Q.

Brossura

ISBN 10: 0521498341 ISBN 13: 9780521498340

Casa editrice: Cambridge University Press, 2008

Riassunto

This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields.

Su questo libro

Descrizione del libro

This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, with special emphasis 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.

Contenuti

1. Twisted Jacobi sums; 2. Cohomology groups of n=nnm(c); 3. Twisted Fermat motives; 4. The inductive structure and the Hodge and Newton polygons; 5. Twisting and the Picard numbers n=nmn(c); 6. Brauer numbers associated to twisted Jacobi sums; 7. Evaluating the polynomials Q(n,T) at T=q-r; 8. The Lichtenbaum–Milne conjecture for n=nnm(c); 9. Observations and open problems.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0521498341
• ISBN 13: 9780521498340
• Rilegatura: Copertina flessibile
• Numero di pagine: 184
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia