Journal article icon

Journal article

A vanishing theorem for Fano varieties in positive characteristic

Abstract:
We prove a Kodaira-type vanishing theorem for the Witt vector sheaf on a Fano variety over a perfect field of characteristic p. As a corollary, we deduce that the number of rational points on a Fano variety over a finite field with q=p^n elements is congruent to 1 mod q. This refines a result of Esnault which say that the number is congruent to 1 mod p.
Publication status:
Not Published
Peer review status:
Not peer reviewed
Version:
Author's Original

Actions


Access Document


Files:

Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Publication date:
2002
URN:
uuid:e2d3eed0-3457-4fb3-9471-39d6dea0e0da
Source identifiers:
308890
Local pid:
pubs:308890

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP