Higher direct images of the structure sheaf in positive characteristic
type: Item
instance of: scholarly article
title: Higher direct images of the structure sheaf in positive characteristic
zbMATH Open document ID: 1253.14013
author: Andre Chatzistamatiou
author: Kay Rülling
published in: Algebra \& Number Theory
publication date: 2012-07-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/0911.3599
full work available at URL: p01.xhtml
review text: In the article under review, the authors prove that for smooth projective varieties, the cohomology of the structure sheaf is a birational invariant and they show the vanishing of higher direct images of the structure and canonical sheaves for a proper birational morphism from a smooth variety to the quotient of a smooth variety by a finite group of order prime to the characteristic of the ground field. These results are well known in characteristic \(0\).
Mathematics Subject Classification ID: 14E05
Mathematics Subject Classification ID: 14C17
zbMATH DE Number: 6054518
zbMATH Keywords: birational geometry
zbMATH Keywords: rational singularities
reviewed by: Christopher Hacon
MaRDI profile type: Publication
OpenAlex ID: W2962870694
arXiv ID: 0911.3599
DOI: 10.2140/ANT.2011.5.693
description: scientific article; zbMATH DE number 6054518