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Factorization theorems for the representations of the fundamental groups of quasiprojective varieties and some applications

Ludmil Katzarkov
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Abstract

In this paper, using Gromov-Jost-Korevaar-Schoen technique of harmonic maps to nonpositively curved targets, we study the representations of the fundamental groups of quasiprojective varieties. As an application of the above considerations we give a proof of a weak version of the Shafarevich Conjecture.

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Ludmil Katzarkov. 1994-02-16. Factorization theorems for the representations of the fundamental groups of quasiprojective varieties and some applications. https://arxiv.org/abs/alg-geom/9402012

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