Algebraic matroids and set-theoretic realizability of tropical varieties

DOI10.1016/j.jcta.2016.11.007zbMath1352.05046arXiv1506.01427OpenAlexW2526164425MaRDI QIDQ501684

Josephine Yu

Publication date: 9 January 2017

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

Full work available at URL: https://arxiv.org/abs/1506.01427

zbMATH Keywords

tropical geometryalgebraic matroidstropical varietiesBergman fans

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (5)

Generic Symmetry-Forced Infinitesimal Rigidity: Translations and Rotations ⋮ Higher connectivity of tropicalizations ⋮ Completion of tree metrics and rank 2 matrices ⋮ Tropical ideals do not realise all Bergman fans ⋮ The Tropical Cayley--Menger Variety

Cites Work

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• A class of non-algebraic matroids of rank three
• A generalization of the Ingleton-Main lemma and a class of non-algebraic matroids
• The Bergman complex of a matroid and phylogenetic trees
• The algebraic closure of the power series field in positive characteristic
• Non‐Algebraic Matroids exist
• Stable intersections of tropical varieties

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