论正规簇的基本群
代数几何
2017-08-30 v2 代数拓扑
摘要
我们证明了正规复代数簇的基本群具有光滑簇基本群的许多性质。正规簇上秩一局部系的跳跃 locus 与该簇的解消和平滑化的跳跃 locus 相关。
引用
@article{arxiv.1412.1483,
title = {On the fundamental groups of normal varieties},
author = {Donu Arapura and Alexandru Dimca and Richard Hain},
journal= {arXiv preprint arXiv:1412.1483},
year = {2017}
}
备注
version 2: Thanks to references communicated by J\'anos Koll\'ar, one proof became unnecessary and is removed. On the other hand, Theorem 1.1 has a stronger form in this version