Jumping numbers of hyperplane arrangements

Details Jumping numbers of hyperplane arrangements Jumping numbers of hyperplane arrangements

2008-02-06

arxiv.org/abs/0802.0878v3

Mathematics

Algebraic Geometry

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Scientific paper

M. Saito recently proved that the jumping numbers of a hyperplane arrangement depend only on the combinatorics of the arrangement. However, a formula in terms of the combinatorial data was still missing. In this note, we give a formula and a different proof of the fact that the jumping numbers of a hyperplane arrangement depend only on the combinatorics. We also give a combinatorial formula for part of the Hodge spectrum and for the inner jumping multiplicities.

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