Representations of Fundamental Groups of Compact Kahler Manifolds in Solvable Matrix Groups
Alexander Brudnyi
Abstract
In the paper we prove a factorization theorem for representations of fundamental groups of compact Kähler manifolds ( 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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