Characteristic varieties of quasi-projective manifolds and orbifolds

Abstract

We prove that the irreducible components of the characteristic varieties of quasi-projective manifolds are either pull-backs of such components for orbifolds, or torsion points. This gives an interpretation for the so-called \emph{translated} components of the characteristic varieties, and shows that the zero-dimensional components are indeed torsion. The main result is used to derive further obstructions for a group to be the fundamental group of a quasi-projective manifold.

33 pages, no figures. General rearrangement and proof of Proposition 4.2 is expanded

References in corpus (4)

• Topology and geometry of cohomology jump loci
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• On the connection between fundamental groups and pencils with multiple fibers
• Alexander polynomials: Essential variables and multiplicities

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