Mathematics – Complex Variables
Scientific paper
1999-11-11
Mathematics
Complex Variables
Scientific paper
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.
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