Representations of Fundamental Groups of Compact Kahler Manifolds in Solvable Matrix Groups
Complex Variables
2007-05-23 v3
Abstract
In the paper we prove a factorization theorem for representations of fundamental groups of compact K\"{a}hler manifolds ({\em K\"{a}hler groups}) into solvable matrix groups. We apply this result to prove that the universal covering of a compact K\"{a}hler manifold with a residually solvable fundamental group is holomorphically convex.
Keywords
Cite
@article{arxiv.math/9911080,
title = {Representations of Fundamental Groups of Compact Kahler Manifolds in Solvable Matrix Groups},
author = {Alexander Brudnyi},
journal= {arXiv preprint arXiv:math/9911080},
year = {2007}
}