arXiv Analytics

Sign in

arXiv:1707.04581 [math.CO]AbstractReferencesReviewsResources

Toric h-vectors and Chow Betti Numbers of Dual Hypersimplices

Charles Wang, Josephine Yu

Published 2017-07-14Version 1

The toric h-numbers of a dual hypersimplex and the Chow Betti numbers of the normal fan of a hypersimplex are the ranks of intersection cohomology and Chow cohomology respectively of the torus orbit closure of a generic point in the Grassmannian. We give explicit formulas for these numbers. We also show that similar formulas hold for the coordinator numbers of type A^* lattices.