✦ LIBER ✦

Solvable matrix representations of Kähler groups

✍ Scribed by Alexander Brudnyi

Book ID: 104358210
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 272 KB
Volume: 19
Category: Article
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(03)00018-4

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✦ Synopsis

In the paper we study solvable matrix representations of fundamental groups of compact Kähler manifolds (Kähler groups). One of our main results is a factorization theorem for such representations. Further, we explore the structure of certain Kähler groups. As an application we prove that the universal covering of a compact Kähler manifold with a residually solvable fundamental group is holomorphically convex.

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