Length and decomposition of the cohomology of the complement to a hyperplane arrangement

Autor: Bøgvad, Rikard, Gonçalves, Iara
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: Let $\mathcal A$ be a hyperplane arrangement in $\mathbb C^n$. We show that the number of decomposition factors as a perverse sheaf of the direct image $Rj_*\mathbb C_U $ of the constant sheaf on the complement $U$ to the arrangement is given by the Poincar\'e polynomial of the arrangement. Furthermore we describe the composition factors of $Rj_*\mathbb C_U $ as certain local cohomology sheaves and give their multiplicity.
Comment: Final corrected version, with more references added, to appear in Proc. AMS
Databáze: arXiv
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