Torsion in Milnor fiber homology
Geometric Topology
2014-10-01 v2 Algebraic Geometry
Abstract
In a recent paper, Dimca and Nemethi pose the problem of finding a homogeneous polynomial f such that the homology of the complement of the hypersurface defined by f is torsion-free, but the homology of the Milnor fiber of f has torsion. We prove that this is indeed possible, and show by construction that, for each prime p, there is a polynomial with p-torsion in the homology of the Milnor fiber. The techniques make use of properties of characteristic varieties of hyperplane arrangements.
Keywords
Cite
@article{arxiv.math/0302143,
title = {Torsion in Milnor fiber homology},
author = {Daniel C. Cohen and Graham Denham and Alexander I. Suciu},
journal= {arXiv preprint arXiv:math/0302143},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-16.abs.html