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2003 Torsion in Milnor fiber homology
Daniel C Cohen, Graham Denham, Alexander I Suciu
Algebr. Geom. Topol. 3(1): 511-535 (2003). DOI: 10.2140/agt.2003.3.511

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.

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Daniel C Cohen. Graham Denham. Alexander I Suciu. "Torsion in Milnor fiber homology." Algebr. Geom. Topol. 3 (1) 511 - 535, 2003. https://doi.org/10.2140/agt.2003.3.511

Information

Received: 14 February 2003; Accepted: 19 May 2003; Published: 2003
First available in Project Euclid: 21 December 2017

zbMATH: 1030.32022
MathSciNet: MR1997327
Digital Object Identifier: 10.2140/agt.2003.3.511

Subjects:
Primary: 32S55
Secondary: 14J70, 32S22, 55N25

Rights: Copyright © 2003 Mathematical Sciences Publishers

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