On the toric ideals of matroids of a fixed rank

DOI10.1007/s00029-021-00633-6zbMath1462.05051arXiv1601.08199OpenAlexW3137478000MaRDI QIDQ829621

Michał Lasoń

Publication date: 6 May 2021

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.08199

zbMATH Keywords

Gröbner basismatroidtoric idealgenerating setBetti tablebase exchange

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) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (4)

The geometry of geometries: matroid theory, old and new ⋮ Exchange Distance of Basis Pairs in Split Matroids ⋮ Gorenstein graphic matroids ⋮ Flag matroids: algebra and geometry

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