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Communication Dans Un Congrès Année : 2011

First Milnor cohomology of hyperplane arrangements

Nero Budur
  • Fonction : Auteur
Alexandru Dimca

Résumé

We show a combinatorial formula for a lower bound of the dimension of the non-unipotent monodromy part of the first Milnor cohomology of a hyperplane arrangement satisfying some combinatorial conditions. This gives exactly its dimension if a stronger combinatorial condition is satisfied. We also prove a non-combinatorial formula for the dimension of the non-unipotent part of the first Milnor cohomology, which apparently depends on the position of the singular points. The latter generalizes a formula previously obtained by the second named author.

Dates et versions

hal-00940221 , version 1 (31-01-2014)

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Nero Budur, Alexandru Dimca, Morihiko Saito. First Milnor cohomology of hyperplane arrangements. Topology of Algebraic Varieties, 2009, Bilbao, Spain. pp.279-292. ⟨hal-00940221⟩
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