The deficiencies of Kaehler groups
Group Theory
2012-09-10 v3 Algebraic Geometry
Complex Variables
Geometric Topology
Abstract
Generalizing the theorem of Green--Lazarsfeld and Gromov, we classify Kaehler groups of deficiency at least two. As a consequence we see that there are no Kaehler groups of even and strictly positive deficiency. With the same arguments we prove that Kaehler groups that are non-Abelian and are limit groups in the sense of Sela are surface groups.
Keywords
Cite
@article{arxiv.1204.6278,
title = {The deficiencies of Kaehler groups},
author = {D. Kotschick},
journal= {arXiv preprint arXiv:1204.6278},
year = {2012}
}
Comments
10 pages; small edits in v2; corrected a type on v3; to appear in Journal of Topology