A vanishing theorem for line bundles on resolutions of surface singularities
type: Item
instance of: scholarly article
title: A vanishing theorem for line bundles on resolutions of surface singularities
zbMATH Open document ID: 0865.14007
DOI: 10.1007/BF02953328
author: Yanyan Li
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1996-06-30T00:00:00Z
review text: A numerical criterion is given for the vanishing of the first cohomology of an invertible sheaf on a resolution of a normal complex analytic surface singularity. The criterion is sharp for rational surface singularities. Applications are given, including simplified proofs of vanishing results already in the literature.
reviewed by: Frances Kirwan
Mathematics Subject Classification ID: 14F17
Mathematics Subject Classification ID: 14J17
Mathematics Subject Classification ID: 14E15
zbMATH DE Number: 878379
zbMATH Keywords: vanishing of the first cohomology
zbMATH Keywords: rational surface singularities
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 878379