RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find






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


Funktsional. Anal. i Prilozhen., 2017, Volume 51, Issue 3, Pages 4–21 (Mi faa3478)  

The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications

T. Ayanoa, V. M. Buchstaberb

a Faculty of Mathematics, National Research University Higher School of Economics, Moscow, Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus $3$ is described in terms of the gradient of its sigma function. As an application, solutions of the corresponding families of polynomial dynamical systems in $C^4$ with two polynomial integrals are constructed. These systems were introduced by Buchstaber and Mikhailov on the basis of commuting vector fields on the symmetric square of algebraic curves.

Keywords: Abelian functions, hyperelliptic sigma functions, polynomial dynamical systems, commuting vector fields, symmetric products of algebraic curves.

DOI: https://doi.org/10.4213/faa3478

Full text: PDF file (274 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Functional Analysis and Its Applications, 2017, 51:3, 162–176

Bibliographic databases:

Document Type: Article
UDC: 512.554.32+517.98
Received: 21.05.2017
Revised: 18.06.2017

Citation: T. Ayano, V. M. Buchstaber, “The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications”, Funktsional. Anal. i Prilozhen., 51:3 (2017), 4–21; Funct. Anal. Appl., 51:3 (2017), 162–176

Citation in format AMSBIB
\Bibitem{AyaBuc17}
\by T.~Ayano, V.~M.~Buchstaber
\paper The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications
\jour Funktsional. Anal. i Prilozhen.
\yr 2017
\vol 51
\issue 3
\pages 4--21
\mathnet{http://mi.mathnet.ru/faa3478}
\crossref{https://doi.org/10.4213/faa3478}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3685299}
\elib{http://elibrary.ru/item.asp?id=29764054}
\transl
\jour Funct. Anal. Appl.
\yr 2017
\vol 51
\issue 3
\pages 162--176
\crossref{https://doi.org/10.1007/s10688-017-0181-4}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000411338100001}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85029768278}


Linking options:
  • http://mi.mathnet.ru/eng/faa3478
  • https://doi.org/10.4213/faa3478
  • http://mi.mathnet.ru/eng/faa/v51/i3/p4

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
    Number of views:
    This page:134
    References:10
    First page:11

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018