A semi-small decomposition of the Chow ring of a matroid

By Tom Braden, June Huh, Jacob P. Matherne, Nicholas Proudfoot, Botong Wang. Advances in Mathematics, 2020

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We give a semi-small orthogonal decomposition of the Chow ring of a matroid M. The decomposition is used to give simple proofs of Poincare 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.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a0602e9216aa0238422e76ced89d6fa880f1556f

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In Computational Theory and Mathematics

In Discrete Mathematics and Combinatorics

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Citations in the corpus

Stellahedral geometry of matroids (2022, methodology): “Deﬁnition 3.7.”