Journal of Siberian Federal University. Mathematics & Physics / Parametrizations of Limit Positions for the Discriminant Locus of a Trinomial System

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (3)
Authors
Antipova, Irina A.; Kleshkova, Ekaterina A.
Contact information
Antipova, Irina A.: Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0003-1382-0799; Kleshkova, Ekaterina A.: Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0002-7443-2979
Keywords
algebraic equation; discriminant; Newton polytope; truncation of the polynomial; discriminant set; parametrization
Abstract

The paper deals with the discriminant of the reduced system of n trinomial algebraic equa- tions. 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

Pages
319–330
EDN
MNWSFN
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/150082