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

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arxiv 2107.04978 v1 pith:B2H3UZ5X submitted 2021-07-11 math.AG

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

classification math.AG
keywords discriminantfacetsnewtonpolynomialpolytopesystemadmittingalgebraic
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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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