On the fundamental groups of normal varieties
Algebraic Geometry
2017-08-30 v2 Algebraic Topology
Abstract
We show that the fundamental groups of normal complex algebraic varieties share many properties of the fundamental groups of smooth varieties. The jump loci of rank one local systems on a normal variety are related to the jump loci of a resolution and of a smoothing of this variety.
Keywords
Cite
@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}
}
Comments
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