Characteristic varieties of quasi-projective manifolds and orbifolds

Details Characteristic varieties of quasi-projective manifolds and orbifolds Characteristic varieties of quasi-projective manifolds and orbifolds

2010-05-26

arxiv.org/abs/1005.4761v3

Mathematics

Algebraic Geometry

30 pages, no figures. Sections 3 and 4 are rearranged and two proofs are expanded

Scientific paper

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.

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