Geodesic
On facets of the Newton polytope for the discriminant of the polynomial system
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1180-1188

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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.
Keywords: Newton polytope, tropical variety, Bergman fan, matroid.
Mots-clés : discriminant 
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     author = {I. A. Antipova and E. A. Kleshkova},
     title = {On facets of the {Newton} polytope for the discriminant of the polynomial system},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1180--1188},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a7/}
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I. A. Antipova; E. A. Kleshkova. On facets of the Newton polytope for the discriminant of the polynomial system. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1180-1188. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a7/