Toric h-vectors and Chow Betti Numbers of Dual Hypersimplices
Combinatorics
2017-07-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1707.04581,
title = {Toric h-vectors and Chow Betti Numbers of Dual Hypersimplices},
author = {Charles Wang and Josephine Yu},
journal= {arXiv preprint arXiv:1707.04581},
year = {2017}
}
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9 pages