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Journal of Siberian Federal University. Mathematics & Physics, 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
References:
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-936
The research is supported by the Krasnoyarsk Mathematical Center funded by the Ministry of Science and Higher Education of the Russian Federation (Agreement no. 075-02-2023-936).
Received: 28.01.2023
Received in revised form: 20.03.2023
Accepted: 24.04.2023
Bibliographic databases:
Document Type: Article
UDC: 517.55+512.7
Language: English
Citation: Irina A. Antipova, Ekaterina A. Kleshkova, “Parametrizations of limit positions for the discriminant locus of a trinomial system”, J. Sib. Fed. Univ. Math. Phys., 16:3 (2023), 318–329
Citation in format AMSBIB
\Bibitem{AntKle23}
\by Irina~A.~Antipova, Ekaterina~A.~Kleshkova
\paper Parametrizations of limit positions for the discriminant locus of a trinomial system
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2023
\vol 16
\issue 3
\pages 318--329
\mathnet{http://mi.mathnet.ru/jsfu1081}
\edn{https://elibrary.ru/MNWSFN}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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