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Izvestiya: Mathematics, 2021, Volume 85, Issue 3, Pages 457–467
DOI: https://doi.org/10.1070/IM9067 (Mi im9067) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Newton polyhedron of a Jacobian pair

L. G. Makar-Limanovab

a Wayne State University, Department of Mathematics, Detroit, MI, USA
b Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, Israel
English version PDF (485 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM9067
Abstract: We introduce and describe the Newton polyhedron related to a “minimal” counterexample to the Jacobian conjecture. This description allows us to obtain a sharper estimate for the geometric degree of the polynomial mapping given by a Jacobian pair and to give a new proof in the case of the Abhyankar's two characteristic pairs.
Keywords: Jacobian conjecture, Newton polytopes.
Funding agency Grant number
Max-Planck-Institut für Mathematik
Israel Science Foundation
NSA - National Security Agency
National Science Foundation
Fundação de Amparo à Pesquisa do Estado de São Paulo
While working on this project the author was supported by the Max-Planck-Institut für Mathematik in Bonn, Germany, NSA and NSF grants, a Fulbright fellowship awarded by the United States–Israel Educational Foundation, and FAPESP grant 2011/52030-5 awarded by the State of São Paulo, Brazil.
Received: 04.06.2020
Revised: 06.07.2020
Bibliographic databases:
Document Type: Article
UDC: 512.552.16+512.622+512.714+514.172.45
MSC: Primary 14R15, 12E05; Secondary 12E12
Language: English
Original paper language: Russian
Citation: L. G. Makar-Limanov, “On the Newton polyhedron of a Jacobian pair”, Izv. Math., 85:3 (2021), 457–467
Citation in format AMSBIB
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\by L.~G.~Makar-Limanov
\paper On the Newton polyhedron of a~Jacobian pair
\jour Izv. Math.
\yr 2021
\vol 85
\issue 3
\pages 457--467
\mathnet{http://mi.mathnet.ru//eng/im9067}
\crossref{https://doi.org/10.1070/IM9067}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021IzMat..85..457M}
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  • https://www.mathnet.ru/eng/im9067
  • https://doi.org/10.1070/IM9067
  • https://www.mathnet.ru/eng/im/v85/i3/p127
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:59
    English version PDF:29
    Russian version HTML:95
    References:33
    First page:11
     
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