Isotropic subspaces of Orlik-Solomon algebras

Details Isotropic subspaces of Orlik-Solomon algebras Isotropic subspaces of Orlik-Solomon algebras

2010-07-15

arxiv.org/abs/1007.2660v1

Mathematics

Combinatorics

11 pages

Scientific paper

We give a combinatorial characterization of isotropic subspaces in the Orlik- Solomon algebra of a hyperplane arrangement in terms of decorations of its intersection lattice. We then use this characterization to prove a result that relates these isotropic subspaces with linear systems supported on the arrangement, for arrangements with isolated non-normal crossings of a particular form.

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