Stratifying families of torsion-free sheaves on a smooth surface by their singularities
type: Item
instance of: scholarly article
title: Stratifying families of torsion-free sheaves on a smooth surface by their singularities
zbMATH Open document ID: 0960.14014
DOI: 10.1016/S0022-4049(98)00059-0
author: Valérie Maria
author: Yves Pitteloud
published in: Journal of Pure and Applied Algebra
publication date: 2001-05-13T00:00:00Z
review text: In this paper, after defining a stratification of the singular locus in the base space of a versal deformation of a torsion-free module over \(kx,y\), by projecting a Fitting stratification of the total space, one shows that the strata are irreducible. One applies the results to torsion-free sheaves on \(\mathbb{P}^2\).
Mathematics Subject Classification ID: 14J17
Mathematics Subject Classification ID: 14J60
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 13F25
zbMATH DE Number: 1398629
zbMATH Keywords: torsion-free sheaf
zbMATH Keywords: stratification of the singular locus
zbMATH Keywords: versal deformation
zbMATH Keywords: Fitting stratification
reviewed by: Nicolae Manolache
MaRDI profile type: Publication
full work available at URL: s0022-4049(98)00059-0
OpenAlex ID: W2108123247
description: scientific article; zbMATH DE number 1398629