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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 1, Pages 23–28
DOI: https://doi.org/10.17516/1997-1397-2022-15-1-23-28 (Mi jsfu972) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Detailed factorization identities for classical discriminant

Evgeny N. Mikhalkin, Mearajuddin Nikzad, Vitaly A. Stepanenko

Siberian Federal University, Krasnoyarsk, Russian Federation
Full-text PDF (101 kB) Citations (3)
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DOI: https://doi.org/10.17516/1997-1397-2022-15-1-23-28
Abstract: A general polynomial in one variable is considered and the explicit factorization formulas for the truncations of the discriminant with respect to coordinate faces of the polynomial Newton polytope are presented. As a result, the extension of the formulas presented by Gelfand–Kapranov–Zelevinsky is obtained.
Keywords: discriminant, Newton polytope, Horn–Kapranov parametrization.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1534/1
This work is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement no. 075-02-2020-1534/1).
Received: 03.05.2021
Received in revised form: 30.06.2021
Accepted: 20.08.2021
Bibliographic databases:
Document Type: Article
UDC: 512.761, 517.55
Language: English
Citation: Evgeny N. Mikhalkin, Mearajuddin Nikzad, Vitaly A. Stepanenko, “Detailed factorization identities for classical discriminant”, J. Sib. Fed. Univ. Math. Phys., 15:1 (2022), 23–28
Citation in format AMSBIB
\Bibitem{MikNikSte22}
\by Evgeny~N.~Mikhalkin, Mearajuddin~Nikzad, Vitaly~A.~Stepanenko
\paper Detailed factorization identities for classical discriminant
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 1
\pages 23--28
\mathnet{http://mi.mathnet.ru/jsfu972}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-1-23-28}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4383489}
Linking options:
  • https://www.mathnet.ru/eng/jsfu972
  • https://www.mathnet.ru/eng/jsfu/v15/i1/p23
    • This publication is cited in the following 3 articles:
    1. A. P. Lyapin, E. N. Mikhalkin, “Algorithm for Computing the Truncation of the Discriminant of a Polynomial”, Program Comput Soft, 49:1 (2023), 49  crossref
    2. A. P. LYAPIN, E. N. MIKHALKIN, “ALGORITHM FOR COMPUTING THE TRUNCATION OF THE DISCRIMINANT OF A POLINOMIAL”, Programmirovanie, 2023, no. 1, 56  crossref
    3. V.S. Kobycheva, E. N. Mikhalkin, V. A. Stepanenko, “ON SUMS OF NEWTON POLYTOPES FOR DISCRIMINANTS OF POLYNOMIALS”, J Math Sci, 271:5 (2023), 682  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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