Isotropic subspaces of Orlik-Solomon algebras
Combinatorics
2010-07-19 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1007.2660,
title = {Isotropic subspaces of Orlik-Solomon algebras},
author = {Miguel A. Marco-Buzunariz},
journal= {arXiv preprint arXiv:1007.2660},
year = {2010}
}
Comments
11 pages