#### Volume 3, issue 1 (2003)

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Torsion in Milnor fiber homology

### Daniel C Cohen, Graham Denham and Alexander I Suciu

Algebraic & Geometric Topology 3 (2003) 511–535
 arXiv: math.GT/0302143
##### Abstract

In a recent paper, Dimca and Némethi 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
Milnor fibration, characteristic variety, arrangement
##### Mathematical Subject Classification 2000
Primary: 32S55
Secondary: 14J70, 32S22, 55N25