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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1180–1188
DOI: https://doi.org/10.33048/semi.2021.18.089 (Mi semr1430) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical logic, algebra and number theory

On facets of the Newton polytope for the discriminant of the polynomial system

I. A. Antipova, E. A. Kleshkova

Siberian Federal University, 79, Svobodny ave., Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.089
Abstract: 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: discriminant, Newton polytope, tropical variety, Bergman fan, matroid.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS 18-1-7-60
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1388
This research is supported by the Theoretical Physics and Mathematics Advancement Foundation “BASIS” (№ 18-1-7-60), and the Krasnoyarsk Mathematical Center, funded by the Ministry of Science and Higher Education of the Russian Federation within the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement No. 075-02-2021-1388).
Received November 11, 2020, published November 9, 2021
Bibliographic databases:
Document Type: Article
UDC: 512.7, 517.55
MSC: 14M25, 14T15, 32S25
Language: English
Citation: I. A. Antipova, E. A. Kleshkova, “On facets of the Newton polytope for the discriminant of the polynomial system”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1180–1188
Citation in format AMSBIB
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\by I.~A.~Antipova, E.~A.~Kleshkova
\paper On facets of the Newton polytope for the discriminant of the polynomial system
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1180--1188
\mathnet{http://mi.mathnet.ru/semr1430}
\crossref{https://doi.org/10.33048/semi.2021.18.089}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000734395000009}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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