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arXiv · 1007.2660

Isotropic subspaces of Orlik-Solomon algebras

Miguel A. Marco-Buzunariz
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Abstract

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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Miguel A. Marco-Buzunariz. 2010-07-15. Isotropic subspaces of Orlik-Solomon algebras. https://arxiv.org/abs/1007.2660

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