Rigid cohomology

By:

Stum, Bernard Le

Series: Cambridge tracts in mathematics, no. 172Publication details: Cambridge University Press, 2007. Cambridge:Description: xv, 319p.; hbk; 24cm.Cambridge tracts in mathematics, noISBN:

9780521875240

Subject(s):

DDC classification:

514.23 STU

Summary: 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. https://www.cambridge.org/core/books/rigid-cohomology/6D1B752145A51E823A33562DFE3F3D62#fndtn-information

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	514.23 STU (Browse shelf(Opens below))	1	Available		031756

Browsing IIT Gandhinagar shelves, Collection: General Close shelf browser (Hides shelf browser)

Previous								Next
Previous	514.23 MAD From calculus to cohomology: de Rham cohomology and characteristic classes	514.23 MAD From calculus to cohomology: de Rham cohomology and characteristic classes	514.23 PAR Complex topological K-theory	514.23 STU Rigid cohomology	514.23 TUL Introductory lectures on equivariant cohomology	514.23 VAI Cohomology and differential forms	514.24 BAR Foundations of stable homotopy theory	Next

Includes reference and index

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.

https://www.cambridge.org/core/books/rigid-cohomology/6D1B752145A51E823A33562DFE3F3D62#fndtn-information

There are no comments on this title.

to post a comment.