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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2023 Volume 16, Issue 3, Pages 318–329 (Mi jsfu1081)

Parametrizations of limit positions for the discriminant locus of a trinomial system

Irina A. Antipova, Ekaterina A. Kleshkova

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: 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: algebraic equation, discriminant, Newton polytope, truncation of the polynomial, discriminant set, parametrization.

UDC: 517.55+512.7

Received: 28.01.2023
Received in revised form: 20.03.2023
Accepted: 24.04.2023

Language: English



© Steklov Math. Inst. of RAS, 2025