Noncommutative resolutions and rational singularities
代数几何
2007-05-23 v1 环与代数
摘要
Let k be an algebraically closed field of characteristic zero. We show that the centre of a homologically homogeneous, finitely generated k-algebra has rational singularities. In particular if a finitely generated normal commutative k-algebra has a noncommutative crepant resolution, as introduced by the second author, then it has rational singularities.
引用
@article{arxiv.math/0612032,
title = {Noncommutative resolutions and rational singularities},
author = {J. T. Stafford and M. Van den Bergh},
journal= {arXiv preprint arXiv:math/0612032},
year = {2007}
}