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

DOI10.1016/j.aim.2022.108646OpenAlexW4294816256MaRDI QIDQ2089060

Jacob P. Matherne, Tom Braden, June Huh, Botong Wang, Nicholas J. Proudfoot

Publication date: 6 October 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.03341

zbMATH Keywords

matroidsdecomposition theoremChow ringsKähler packagesemi-small maps

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35) (Equivariant) Chow groups and rings; motives (14C15)

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Lagrangian geometry of matroids ⋮ Chow rings of matroids are Koszul ⋮ Stellahedral geometry of matroids ⋮ Log-concavity of matroid \(h\)-vectors and mixed Eulerian numbers ⋮ \(K\)-rings of wonderful varieties and matroids ⋮ Essence of independence: Hodge theory of matroids since June Huh ⋮ Signed permutohedra, delta‐matroids, and beyond ⋮ Tropical fans and normal complexes: putting the ``volume back in ``volume polynomials ⋮ Decompositions of augmented Bergman complexes

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