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arXiv · 1609.06818

Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves

Alexandru Dimca·Gabriel Sticlaru
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Abstract

We describe an algorithm computing the monodromy and the pole order filtration on the Milnor fiber cohomology of any reduced projective plane curve $C$. The relation to the zero set of Bernstein-Sato polynomial of the defining homogeneous polynomial for $C$ is also discussed. When $C$ has some non weighted homogeneous singularities, then we have to assume that a conjecture holds in order to get some of our results. In all the examples computed so far this conjecture holds.

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Alexandru Dimca, Gabriel Sticlaru. 2016-09-22. Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves. https://arxiv.org/abs/1609.06818

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