Higher direct images of the structure sheaf in positive characteristic
Algebraic Geometry
2011-04-14 v2
Abstract
We prove vanishing of the higher direct images of the structure (and the canonical) sheaf for a proper birational morphism with source a smooth variety and target the quotient of a smooth variety by a finite group of order prime to the characteristic of the ground field. We also show that for smooth projective varieties the cohomology of the structure sheaf is a birational invariant. These results are well-known in characteristic zero.
Keywords
Cite
@article{arxiv.0911.3599,
title = {Higher direct images of the structure sheaf in positive characteristic},
author = {Andre Chatzistamatiou and Kay Rülling},
journal= {arXiv preprint arXiv:0911.3599},
year = {2011}
}
Comments
69 pages, revision, to appear in ANT