On the connection between fundamental groups and pencils with multiple fibers
Algebraic Geometry
2018-05-04 v1 Complex Variables
Group Theory
Geometric Topology
Abstract
We present two results about the relationship between fundamental groups of quasiprojective manifolds and linear systems on a projectivization. We prove the existence of a plane curve with non-abelian fundamental group of the complement which does not admit a mapping onto an orbifold with non-abelian fundamental group. We also find an affine manifold whose irreducible components of its characteristic varieties do not come from the pull-back of the characteristic varieties of an orbifold.
Keywords
Cite
@article{arxiv.1002.2097,
title = {On the connection between fundamental groups and pencils with multiple fibers},
author = {Enrique Artal Bartolo and José Ignacio Cogolludo-Agustín},
journal= {arXiv preprint arXiv:1002.2097},
year = {2018}
}