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On the fundamental groups of normal varieties

Donu Arapura

Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA

E-mail Address: dvb@math.purdue.edu

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Alexandru Dimca

University of Nice Sophia Antipolis, CNRS, LJAD, UMR 7351, 06100 Nice, France

E-mail Address: dimca@unice.fr

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, and

Richard Hain

Department of Mathematics, Duke University, Durham, NC 27708-0320, USA

E-mail Address: hain@math.duke.edu

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https://doi.org/10.1142/S0219199715500650Cited by:7 (Source: Crossref)

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:

AMSC: 14F35, 32S35, 55N25

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