Characteristic varieties of quasi-projective manifolds and orbifolds

By Enrique Artal Bartolo, J. Cogolludo-Agustín, Daniel Matei. 2010

59 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/281a7ee6787376253446d17aa5fe149ce12ea146

Citations in the corpus

• The Milnor fibration of a hyperplane arrangement: from modular resonance to algebraic monodromy (2014, unknown): “This theory, as refined in [2, 13], provides a geometric interpretation of these topologically defined varieties in terms of (orbifold) pencils.”