Solvable matrix representations of Kähler groups
| Autor: | Alexander Brudnyi |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Fundamental group
Pure mathematics Mathematics::Complex Variables Regular polygon Structure (category theory) Kähler group Kähler manifold Algebra symbols.namesake Matrix (mathematics) d-gauge transform Computational Theory and Mathematics Flat vector bundle Solvable Lie group Weierstrass factorization theorem symbols Mathematics::Differential Geometry Geometry and Topology Holomorphic convexity Mathematics::Symplectic Geometry Analysis Mathematics |
| Zdroj: | Differential Geometry and its Applications. 19(2):167-191 |
| ISSN: | 0926-2245 |
| DOI: | 10.1016/s0926-2245(03)00018-4 |
| Popis: | In the paper we study solvable matrix representations of fundamental groups of compact Kahler manifolds (Kahler groups). One of our main results is a factorization theorem for such representations. Further, we explore the structure of certain Kahler groups. As an application we prove that the universal covering of a compact Kahler manifold with a residually solvable fundamental group is holomorphically convex. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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