Straightening laws for Chow rings of matroids
Combinatorics
2025-03-04 v3 Commutative Algebra
Abstract
We give elementary and non-inductive proofs of three fundamental theorems about Chow rings of matroids: the standard monomial basis, Poincare duality, and the dragon-Hall-Rado formula. Our approach, which also works for augmented Chow rings of matroids, is based on a straightening law. This approach also gives a decomposition of the Chow ring of a matroid into pieces indexed by flats.
Keywords
Cite
@article{arxiv.2402.03444,
title = {Straightening laws for Chow rings of matroids},
author = {Matt Larson},
journal= {arXiv preprint arXiv:2402.03444},
year = {2025}
}
Comments
To appear in Journal of Algebra