Quaternionic geometry of matroids

DOI10.2478/BF02475653zbMath1079.52009arXivmath/0308146OpenAlexW2023638190MaRDI QIDQ1767431

Tamás Hausel

Publication date: 11 March 2005

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308146

zbMATH Keywords

matroidhard Lefschetzquaternionic geometry\(g\)-inequalitiestoric hyperkähler variety

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items

\(g\)-elements, finite buildings and higher Cohen-Macaulay connectivity., Pure \(O\)-sequences and matroid \(h\)-vectors, The unimodality of pure \(O\)-sequences of type three in three variables, \(f\)-vectors of pure complexes and pure multicomplexes of rank three, Lagrangian geometry of matroids, On the shape of a pure 𝑂-sequence, On the weak Lefschetz property for artinian Gorenstein algebras of codimension three, Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz., Ehrhart theory for Lawrence polytopes and orbifold cohomology of hypertoric varieties, Two unfortunate properties of pure $f$-vectors, The unimodality of pure \(O\)-sequences of type two in four variables

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