Characteristic varieties of quasi-projective manifolds and orbifolds
Algebraic Geometry
2018-05-04 v4
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.
Keywords
Cite
@article{arxiv.1005.4761,
title = {Characteristic varieties of quasi-projective manifolds and orbifolds},
author = {Enrique Artal Bartolo and Jose Ignacio Cogolludo-Agustin and Daniel Matei},
journal= {arXiv preprint arXiv:1005.4761},
year = {2018}
}
Comments
33 pages, no figures. General rearrangement and proof of Proposition 4.2 is expanded