# Chow Rings of Vector Space Matroids

@article{Hameister2018ChowRO, title={Chow Rings of Vector Space Matroids}, author={Thomas Hameister and Sujit Rao and Connor Simpson}, journal={arXiv: Combinatorics}, year={2018} }

The Chow ring of a matroid (or more generally, atomic latice) is an invariant whose importance was demonstrated by Adiprasito, Huh and Katz, who used it to resolve the long-standing Heron-Rota-Welsh conjecture. Here, we make a detailed study of the Chow rings of uniform matroids and of matroids of finite vector spaces. In particular, we express the Hilbert series of such matroids in terms of permutation statistics; in the full rank case, our formula yields the maj-exc $q$-Eulerian polynomials… CONTINUE READING

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