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arXiv · 2107.04978

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

Irina Antipova·Ekaterina Kleshkova
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Abstract

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

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Irina Antipova, Ekaterina Kleshkova. 2021-07-11. On facets of the Newton polytope for the discriminant of the polynomial system. https://arxiv.org/abs/2107.04978

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