Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (1059 kB) Citations (3)
References:
PDF
HTML
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
\Bibitem{AntKle21}
\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}
Linking options:
  • https://www.mathnet.ru/eng/semr1430
  • https://www.mathnet.ru/eng/semr/v18/i2/p1180
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:146
    Full-text PDF :74
    References:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024