A semi-small decomposition of the Chow ring of a matroid
Algebraic Geometry
2020-10-15 v2 Combinatorics
Abstract
We give a semi-small orthogonal decomposition of the Chow ring of a matroid M. The decomposition is used to give simple proofs of Poincar\'e duality, the hard Lefschetz theorem, and the Hodge-Riemann relations for the Chow ring, recovering the main result of [AHK18]. We also show that a similar semi-small orthogonal decomposition holds for the augmented Chow ring of M.
Keywords
Cite
@article{arxiv.2002.03341,
title = {A semi-small decomposition of the Chow ring of a matroid},
author = {Tom Braden and June Huh and Jacob P. Matherne and Nicholas Proudfoot and Botong Wang},
journal= {arXiv preprint arXiv:2002.03341},
year = {2020}
}
Comments
40 pages