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The deficiencies of Kaehler groups

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 Added by D. Kotschick
 Publication date 2012
  fields
and research's language is English
 Authors D. Kotschick




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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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