|
|||
|
|
|
|
|
|
|
|
|
|
|
|
|
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. |
KeywordsMilnor fibration, characteristic variety, arrangement |
Mathematical Subject ClassificationPrimary: 32S55 Secondary: 14J70, 32S22, 55N25 |
References |
Forward citations |
PublicationReceived: 14 February 2003 |
Authors |
| Daniel C Cohen | |
| Department of Mathematics Louisiana State University Baton Rouge LA 70803 USA |
|
| Graham Denham | |
| Department of Mathematics University of Western Ontario London, ON N6A 5B7 Canada |
|
| Alexander I Suciu | |
| Department of Mathematics Northeastern University Boston MA 02115 USA |
|
