Isotropic subspaces of Orlik-Solomon algebras
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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.
KeywordsHyperplane arrangements Orlik-solomon algebra Linear systems
Mathematics Subject Classification (2000)32S22 52C35
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- 3.Libgober, A.: Isolated non-normal crossings. In: Real and Complex Singularities. Contemp. Math., vol. 354, pp. 145–160. Am. Math. Soc., Providence (2004) Google Scholar