Log-concavity of matroid \(h\)-vectors and mixed Eulerian numbers

DOI10.1215/00127094-2023-0021arXiv2005.01937OpenAlexW3023849327MaRDI QIDQ6118763

Andrew Berget, Hunter Spink, Dennis Tseng

Publication date: 28 February 2024

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01937

zbMATH Keywords

matroidlog-concavityHodge theorytropical geometry

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15)

Cites Work

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• \(h\)-vectors of small matroid complexes
• \( h\)-vectors of matroids and logarithmic concavity
• Orbits of a maximal torus on a flag space
• On simple polytopes
• Mixed volumes and slices of the cube
• Hodge theory for combinatorial geometries
• Chow rings of toric varieties defined by atomic lattices
• Wonderful models of subspace arrangements
• Log-concavity of characteristic polynomials and the Bergman fan of matroids
• A semi-small decomposition of the Chow ring of a matroid
• Simplicial generation of Chow rings of matroids
• Intersection theory on toric varieties
• Algebraic and geometric methods in enumerative combinatorics
• Introduction to Toric Varieties. (AM-131)
• Permutohedra, Associahedra, and Beyond
• Hispanic Heritage Month
• A Contribution to the Theory of Chromatic Polynomials
• The Permutahedral Variety, Mixed Eulerian Numbers, and Principal Specializations of Schubert Polynomials
• Lagrangian geometry of matroids

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