Characteristic varieties of quasi-projective manifolds and orbifolds

Autor: Bartolo, Enrique Artal, Cogolludo-Agustin, Jose Ignacio, Matei, Daniel
Rok vydání: 2010
Předmět:
Zdroj: Geom. Topol., 17:273-309, 2013
Druh dokumentu: Working Paper
DOI: 10.2140/gt.2013.17.273
Popis: 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.
Comment: 33 pages, no figures. General rearrangement and proof of Proposition 4.2 is expanded
Databáze: arXiv