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- Title
A computational approach to Milnor fiber cohomology.
- Authors
Dimca, Alexandru; Sticlaru, Gabriel
- Abstract
In this paperwe consider the Milnor fiber F associated to a reduced projective plane curve C. A computational approach for the determination of the characteristic polynomial of the monodromy action on the first cohomology group of F, also known as the Alexander polynomial of the curve C, is presented. This leads to an effective algorithm to detect all the monodromy eigenvalues and, in many cases, explicit bases for the monodromy eigenspaces in terms of polynomial differential forms.
- Subjects
MILNOR fibration; COHOMOLOGY theory; PLANE curves; COMPUTATIONAL geometry; POLYNOMIALS; MONODROMY groups; ALGORITHMS
- Publication
Forum Mathematicum, 2017, Vol 29, Issue 4, p831
- ISSN
0933-7741
- Publication type
Article
- DOI
10.1515/forum-2016-0044