Rigid Cohomology

Dating back to work of Berthelot, rigid cohomology appeared as a common generalization of Monsky-Washnitzer cohomology and crystalline cohomology. It is a p-adic Weil cohomology suitable for computing Zeta and L-functions for algebraic varieties on finite fields. Moreover, it is effective, in the sense that it gives algorithms to compute the number of rational points of such varieties. This is the first book to give a complete treatment of the theory, from full discussion of all the basics to descriptions of the very latest developments. Results and proofs are included that are not available elsewhere, local computations are explained, and many worked examples are given. This accessible tract will be of interest to researchers working in arithmetic geometry, p-adic cohomology theory, and related cryptographic areas.

Author: Bernard Le Stum
Publisher: Cambridge University Press
Published: 08/01/2007
Pages: 336
Binding Type: Hardcover
Weight: 1.34lbs
Size: 9.03h x 6.35w x 0.89d
ISBN: 9780521875240

About the Author
Le Stum, Bernard: - Bernard Le Stum is an Associate Professor in the Institute of Mathematical Research of Rennes at Université de Rennes 1.