Partial Desingularizations Arising from Non-Commutative Algebras
环与代数
2007-05-23 v1
摘要
Let X be a singular affine normal variety with coordinate ring R and assume that there is an R-order admitting a stability structure such that the scheme of relevant semistable representations is smooth, then we construct a partial desingularization of X with classifiable remaining singularities. In dimension 3 this explains the omnipresence of conifold singularities in partial desingularizations of quotient singularities. In higher dimensions we have a small list of singularity types generalizing the role of the conifold singularity.
引用
@article{arxiv.math/0507494,
title = {Partial Desingularizations Arising from Non-Commutative Algebras},
author = {Lieven Le Bruyn and Stijn Symens},
journal= {arXiv preprint arXiv:math/0507494},
year = {2007}
}