Isotropical linear spaces and valuated Delta-matroids

DOI10.1016/j.jcta.2011.08.001zbMath1232.05040arXiv1004.4950OpenAlexW2085596012MaRDI QIDQ645957

Felipe Rincón

Publication date: 11 November 2011

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4950

zbMATH Keywords

Coxeter matroidvaluated matroidtropical basismatroid polytopeDelta matroidisotropic subspacespinor varietytropical linear spaceWick relations

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

Related Items (14)

GLSMs for exotic Grassmannians ⋮ Local tropical linear spaces ⋮ Subdivisions of generalized permutahedra ⋮ The geometry of geometries: matroid theory, old and new ⋮ Representability of orthogonal matroids over partial fields ⋮ Initial degenerations of spinor varieties ⋮ Tropical linear spaces and tropical convexity ⋮ Stiefel tropical linear spaces ⋮ Detecting tropical defects of polynomial equations ⋮ Tropical ideals do not realise all Bergman fans ⋮ Tropical ideals do not realise all Bergman fans ⋮ Unnamed Item ⋮ Tropical schemes, tropical cycles, and valuated matroids ⋮ A combinatorial formula for principal minors of a matrix with tree-metric exponents and its applications

Uses Software

• polymake
• Gfan

Cites Work

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• CHARACTERIZING A VALUATED DELTA-MATROID AS A FAMILY OF DELTA-MATROIDS*
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