The hypertoric intersection cohomology ring

Details The hypertoric intersection cohomology ring The hypertoric intersection cohomology ring

2008-02-05

arxiv.org/abs/0802.0641v3

Mathematics

Algebraic Geometry

Significant revisions in Section 5, with several corrected proofs

Scientific paper

We present a functorial computation of the equivariant intersection cohomology of a hypertoric variety, and endow it with a natural ring structure. When the hyperplane arrangement associated with the hypertoric variety is unimodular, we show that this ring structure is induced by a ring structure on the equivariant intersection cohomology sheaf in the equivariant derived category. The computation is given in terms of a localization functor which takes equivariant sheaves on a sufficiently nice stratified space to sheaves on a poset.

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