Representations of Fundamental Groups of Compact Kahler Manifolds in Solvable Matrix Groups

Alexander Brudnyi

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Representations of Fundamental Groups of Compact Kahler Manifolds in Solvable Matrix Groups

Alexander Brudnyi

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Abstract

In the paper we prove a factorization theorem for representations of fundamental groups of compact Kähler manifolds ({\em Kähler groups}) into solvable matrix groups. We apply this result to prove that the universal covering of a compact Kähler manifold with a residually solvable fundamental group is holomorphically convex.

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Alexander Brudnyi. 2001-04-27. Representations of Fundamental Groups of Compact Kahler Manifolds in Solvable Matrix Groups. https://arxiv.org/abs/math/9911080

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