Desingularization of singular hyperkaehler varieties II
alg-geom
2008-02-03 v1 代数几何
摘要
This is a second part of alg-geom/9611015. We construct a natural hyperkaehler desingularization for all singular hyperkaehler varieties. The desingularization theorem was proven in alg-geom/9611015 under additional assumption of local homogeneity. Here we show that local homogeneity is redundant: every singular hyperkaehler variety has locally homogeneous singularities.
引用
@article{arxiv.alg-geom/9612013,
title = {Desingularization of singular hyperkaehler varieties II},
author = {Misha Verbitsky},
journal= {arXiv preprint arXiv:alg-geom/9612013},
year = {2008}
}
备注
LaTeX 2e, 15 pages. This paper can be read independently from the first part. `Desingularization part I' appeared in alg-geom/9611015