Characteristic varieties of graph manifolds and quasi-projectivity of fundamental groups of algebraic links

Abstract

The present paper studies the structure of characteristic varieties of fundamental groups of graph manifolds. As a consequence, a simple proof of Papadima's question is provided on the characterization of algebraic links that have quasi-projective fundamental groups. The type of quasi-projective obstructions used here are in the spirit of Papadima's original work.

arXiv comment22 pages, 6 figures, to appear in European Journal of Mathematics

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• Characteristic varieties of quasi-projective manifolds and orbifolds
• The boundary manifold of a complex line arrangement
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• Quasiprojective three-manifold groups and complexification of three-manifolds
• Kaehler groups, quasi-projective groups, and 3-manifold groups