非交换爆破消解
环与代数
2009-06-09 v2 代数几何
摘要
我们引入奇点的“非交换爆破”消解这一概念，并证明其在某些情形中存在。我们还给出了对 Bondal 与 Orlov 一个猜想的推广的一些佐证，该猜想断言 Gorenstein 奇点的不同爆破消解具有相同的导出范畴。
引用
@article{arxiv.math/0211064,
title = {Non-commutative crepant resolutions},
author = {Michel Van den Bergh},
journal= {arXiv preprint arXiv:math/0211064},
year = {2009}
}
备注
The main reason for this new version is that the argument for the existence of non-commutative crepant resolutions for cones of Del Pezzo surfaces was incorrect in the published version of this paper. Luckily the statement follows easily from the work of Kuleshov and Orlov. This approach was suggested to the author by Tom Bridgeland