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Torsion in Milnor fiber homology

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: D.C. Cohen, G. Denham, A.I. Suciu

Editorial: Algebraic and Geometric Topology, 3, p.511-535, 2003.


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.

Cuvinte cheie: Multi-arrangement of hyperplanes, Milnor fiber, characteristic varieties, torsion in homology