Factorization theorems for the representations of the fundamental groups of quasiprojective varieties and some applications
alg-geom
2008-02-03 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.alg-geom/9402012,
title = {Factorization theorems for the representations of the fundamental groups of quasiprojective varieties and some applications},
author = {Ludmil Katzarkov},
journal= {arXiv preprint arXiv:alg-geom/9402012},
year = {2008}
}
Comments
50 pages, LaTeX