Kaehler groups and duality

Details Kaehler groups and duality Kaehler groups and duality

2010-05-17

arxiv.org/abs/1005.2836v1

Mathematics

Group Theory

Scientific paper

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.

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