Tropical hyperplane arrangements and oriented matroids

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dc.creatorArdila, Federico
dc.creatorDevelin, Mike
dc.date2007-06-20
dc.date2007-06-25
dc.date.accessioned2026-07-07T08:11:49Z
dc.date.available2026-07-07T08:11:49Z
dc.descriptionWe study the combinatorial properties of a tropical hyperplane arrangement. We define tropical oriented matroids, and prove that they share many of the properties of ordinary oriented matroids. We show that a tropical oriented matroid determines a subdivision of a product of two simplices, and conjecture that this correspondence is a bijection.
dc.description20 pages, 7 figures, best viewed in color
dc.identifierhttps://arxiv.org/abs/0706.2920
dc.identifierhttp://arxiv.org/abs/0706.2920
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132245
dc.subjectCombinatorics
dc.subject52C35; 52C40; 52C22
dc.titleTropical hyperplane arrangements and oriented matroids
dc.typetext

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