Desingularization of singular hyperkähler varieties. I
type: Item
instance of: scholarly article
title: Desingularization of singular hyperkähler varieties. I
zbMATH Open document ID: 0886.32026
author: Misha Verbitsky
published in: Mathematical Research Letters
publication date: 1998-04-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/alg-geom/9611015
review text: Let \(M\) be a singular hyperkähler variety, obtained as a moduli space of stable holomorphic bundles on a compact hyperkähler manifold. Consider \(M\) as a complex variety in one of the complex structures induced by the hyperkähler structure. We show that normalization of \(M\) is smooth, hyperkähler and does not depend on the choice of induced complex structure.
Mathematics Subject Classification ID: 32S99
Mathematics Subject Classification ID: 32G13
Mathematics Subject Classification ID: 32L05
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 1053507
zbMATH Keywords: singular hyperkähler variety
zbMATH Keywords: stable holomorphic bundle
zbMATH Keywords: normalization locally homogeneous singularity
zbMATH Keywords: desingularization
reviewed by: Witold Mozgawa
MaRDI profile type: Publication
arXiv ID: alg-geom/9611015
DOI: 10.4310/MRL.1997.V4.N2.A7
description: scientific article