Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements

Details Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements

2010-06-17

arxiv.org/abs/1006.3462v2

Mathematics

Algebraic Geometry

An appendix is added in this second version, where we use $p$-adic Hodge theory to prove that quite generally, whenever a $\G$

Scientific paper

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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