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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 2 scientific papers (total in 2 papers)

Analytic continuation of diagonals of Laurent series for rational functions

Dmitry Yu. Pochekutov

Siberian Federal University, Krasnoyarsk, Russian Federation
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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
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\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}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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