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

1999/11/11 by Alexander Brudnyi, Brudnyi, Alexander
Mathematics · #20F34 #58A10 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #math.CV #msc:20F34 #msc:58A10

paper · pdf · doi:10.48550/arxiv.math/9911080

openalex publication_date 1999/11/11 · arxiv created 2001/04/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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