The tropical critical points of an affine matroid

DOI10.1137/23M1556174zbMATH Open1542.05027MaRDI QIDQ6561326

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Publication date: 25 June 2024

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

matroidstautological classesbeta invariantBergman Fan

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Polyhedra and polytopes; regular figures, division of spaces (51M20) Combinatorial aspects of matroids and geometric lattices (05B35) (Equivariant) Chow groups and rings; motives (14C15)

Cites Work

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• Matroid shellability, \(\beta\)-systems, and affine hyperplane arrangements
• Hodge theory for combinatorial geometries
• Valuative invariants for polymatroids
• The harmonic polytope
• Tropical geometry of matroids
• Intersection theory on toric varieties
• The Bergman complex of a matroid and phylogenetic trees
• Multivariate Gaussians, semidefinite matrix completion, and convex algebraic geometry
• Likelihood degenerations
• Valuations for Matroid Polytope Subdivisions
• Likelihood Geometry
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• Category Theory
• The maximum likelihood degree
• A higher invariant for matroids
• Lagrangian geometry of matroids
• Tautological classes of matroids

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