Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Siberian Federal University. Mathematics & Physics, 2021, Volume 14, Issue 3, Pages 360–368
DOI: https://doi.org/10.17516/1997-1397-2021-14-3-360-368 (Mi jsfu920) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Analytic continuation of diagonals of Laurent series for rational functions

Dmitry Yu. Pochekutov

Siberian Federal University, Krasnoyarsk, Russian Federation
Full-text PDF (128 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.17516/1997-1397-2021-14-3-360-368
Abstract: We describe branch points of complete $\boldsymbol{q}$-diagonals of Laurent series for rational functions in several complex variables in terms of the logarithmic Gauss mapping. The sufficient condition of non-algebraicity of such a diagonal is proven.
Keywords: diagonals of Laurent series, hyperplane amoeba, logarithmic Gauss mapping, zero pinch, monodromy.
Funding agency Grant number
Russian Science Foundation 20-11-20117
The research is supported by grant of the Russian Science Foundation (project no. 20-11-20117).
Received: 11.12.2020
Received in revised form: 01.01.2021
Accepted: 25.03.2021
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Citation: Dmitry Yu. Pochekutov, “Analytic continuation of diagonals of Laurent series for rational functions”, J. Sib. Fed. Univ. Math. Phys., 14:3 (2021), 360–368
Citation in format AMSBIB
\Bibitem{Poc21}
\by Dmitry~Yu.~Pochekutov
\paper Analytic continuation of diagonals of Laurent series for rational functions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 3
\pages 360--368
\mathnet{http://mi.mathnet.ru/jsfu920}
\crossref{https://doi.org/10.17516/1997-1397-2021-14-3-360-368}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000658493100009}
Linking options:
  • https://www.mathnet.ru/eng/jsfu920
  • https://www.mathnet.ru/eng/jsfu/v14/i3/p360
    • 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
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:262
    Full-text PDF :91
    References:54
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025