Publication: Torsion in Milnor fibre homology

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Title	Torsion in Milnor fibre homology
Authors/Editors*	Daniel Cohen, Graham Denham, Alex Suciu
Where published*	Algebraic and Geometric Topology
How published*	None
Year*	2003
Volume	0
Number	0
Pages
Publisher
Keywords	milnor fibration, characteristic variety, arrangement
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Abstract	In a recent paper, Dimca and N'emethi 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.