Kaehler groups and duality
Group Theory
2010-05-18 v1 Algebraic Geometry
Algebraic Topology
Differential Geometry
Abstract
This is the topological part of two papers on the cohomology of Kaehler groups. In this paper we show that if a linear duality group of dimension larger than 6 is the fundamental group of a compact Kaehler manifold then its second or its fourth Betti number is non-zero. As a corollary a cocompact p-adic lattice of rank larger than 6 is never Kaehler.
Keywords
Cite
@article{arxiv.1005.2836,
title = {Kaehler groups and duality},
author = {Bruno Klingler},
journal= {arXiv preprint arXiv:1005.2836},
year = {2010}
}