On facets of the Newton polytope for the discriminant of the polynomial\n system

2021/07/11 by I. A. Antipova, Antipova, Irina, Ekaterina Kleshkova +1
Computer Science · Mathematics · #Polynomial and algebraic computation #Advanced Differential Equations and Dynamical Systems #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.2107.04978

Abstract

We study normal directions to facets of the Newton polytope of the\ndiscriminant of the Laurent polynomial system via the tropical approach. We use\nthe combinatorial construction proposed by Dickenstein, Feichtner and Sturmfels\nfor the tropicalization of algebraic varieties admitting a parametrization by a\nlinear map followed by a monomial map.\n

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