Torsion in Milnor fiber homology
نویسندگان
چکیده
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. AMS Classification 32S55; 14J70, 32S22, 55N25
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تاریخ انتشار 2003