Lagrangian geometry of matroids

DOI10.1090/jams/1009zbMath1512.05068arXiv2004.13116OpenAlexW3023396894WikidataQ113006630 ScholiaQ113006630MaRDI QIDQ6039554

Graham Denham, June Huh, Federico Ardila

Publication date: 5 May 2023

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.13116

zbMATH Keywords

Poincaré dualityhard Lefschetz theoremHodge-Riemann relationstropical Hodge theory

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorial aspects of tropical varieties (14T15) Geometric aspects of tropical varieties (14T20) Algebraic combinatorics (05E99) Combinatorial aspects of matroids and geometric lattices (05B35) Algebraic cycles (14C25)

Related Items

Matroid Chern-Schwartz-MacPherson cycles and Tutte activities, The bipermutahedron, Lagrangian combinatorics of matroids, Stellahedral geometry of matroids, Geometry of logarithmic derivations of hyperplane arrangements, On the tropical Lefschetz-Hopf trace formula, Tautological classes of matroids, Log-concavity of matroid \(h\)-vectors and mixed Eulerian numbers, On the birational geometry of matroids, Essence of independence: Hodge theory of matroids since June Huh, The tropical Poincaré-Hopf theorem, Combinatorics and Hodge theory, Signed permutohedra, delta‐matroids, and beyond

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