Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements

Alexandru Dimca; Gus Lehrer

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arXiv · 1006.3462

Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements

Alexandru Dimca·Gus Lehrer

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Abstract

We investigate the interplay between the monodromy and the Deligne mixed Hodge structure on the Milnor fiber of a homogeneous polynomial. In the case of hyperplane arrangement Milnor fibers, we obtain a new result on the possible weights. For line arrangements, we prove in a new way the fact due to Budur and Saito that the spectrum is determined by the weak combinatorial data, and show that such a result fails for the Hodge-Deligne polynomials.

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Alexandru Dimca, Gus Lehrer. 2011-07-20. Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements. https://arxiv.org/abs/1006.3462

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