On the fundamental groups of normal varieties

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.

version 2: Thanks to references communicated by János Kollár, one proof became unnecessary and is removed. On the other hand, Theorem 1.1 has a stronger form in this version

References in corpus (1)

• Algebraic invariants for right-angled Artin groups

Cited by in corpus (6)

• Recent results on cohomology jump loci
• Topological aspects of the dynamical moduli space of rational maps
• Weight zero part of the first cohomology of complex algebraic varieties
• Wonderful Compactification of Character Varieties
• Higgs bundles over cell complexes and representations of finitely generated groups
• Mixed Hodge Structures on the rational homotopy type of intersection spaces