Geodesic
Parametrizations of limit positions for the discriminant locus of a trinomial system
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 3, pp. 318-329

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The paper deals with the discriminant of the reduced system of $ n $ trinomial algebraic equations. We study zero loci of truncations of the discriminant on facets of its Newton polytope. The basis of the study is the properties of the parametrization of the discriminant set of the system and the general combinatorial construction of the tropicalization of algebraic varieties.
Keywords: Newton polytope, truncation of the polynomial, parametrization.
Mots-clés : algebraic equation, discriminant, discriminant set 
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Irina A. Antipova; Ekaterina A. Kleshkova. Parametrizations of limit positions for the discriminant locus of a trinomial system. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 3, pp. 318-329. http://geodesic.mathdoc.fr/item/JSFU_2023_16_3_a3/