Abstract
The present note announces some inequalities on the number of the generators and relations of a Kähler group $\pi_1(X)$, involving the irregularity $q(X)$, the Albanese dimension $a(X)$ and the Albanese genera $g_k(X), 1 \leq k \leq a(X)$, of the corresponding compact Kähler manifold $X$. The principal ideas for their derivation are outlined and the proofs are postponed to be published elsewhere.
Information
Published: 1 January 2002
First available in Project Euclid: 12 June 2015
zbMATH: 1005.57001
MathSciNet: MR1884855
Digital Object Identifier: 10.7546/giq-3-2002-315-317
Rights: Copyright © 2002 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
