Mathematical Research Letters

Volume 13, Issue 1, January 2006 pp. 29-41.

Equivariant Chow cohomology of toric varieties

Authors: Sam Payne
Author institution: University of Michigan, Ann Arbor

Summary: We show that the equivariant Chow cohomology ring of a toric variety is naturally isomorphic to the ring of integral piecewise polynomial functions on the associated fan. This gives a large class of singular spaces for which localization holds in equivariant Chow cohomology with integer coefficients. We also compute the equivariant Chow cohomology of toric prevarieties and general complex hypertoric varieties in terms of piecewise polynomial functions.

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