Tropical Hyperplane Arrangements and Oriented Matroids

نویسنده

  • FEDERICO ARDILA
چکیده

We 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.

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تاریخ انتشار 2008