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Representing tropical linear spaces by circuits

2006/11/20 by Josephine Yu, Yu, Josephine, Debbie S. Yuster +1
Computer Science · Mathematics · #Polynomial and algebraic computation #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.math/0611579

Abstract

We study representations of tropical linear spaces as intersections of tropical hyperplanes of circuits. For several classes of matroids, we describe minimal tropical bases. We also show that every realizable tropical linear space has a natural, tropically linear parametrization involving its cocircuits.

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