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arXiv · 1204.6278

The deficiencies of Kaehler groups

D. Kotschick
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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.

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BibTeXRIS

D. Kotschick. 2012-06-18. The deficiencies of Kaehler groups. https://doi.org/10.1112/jtopol%2Fjts017

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