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

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

1994-02-16

arxiv.org/abs/alg-geom/9402012v1

Mathematics

Algebraic Geometry

50 pages, LaTeX

Scientific paper

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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