Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 025, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.025 (Mi sigma482) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves

Matthew England

Department of Mathematics, University of Glasgow, UK
Full-text PDF (322 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2010.025
Abstract: We develop the theory of Abelian functions associated with cyclic trigonal curves by considering two new cases. We investigate curves of genus six and seven and consider whether it is the trigonal nature or the genus which dictates certain areas of the theory. We present solutions to the Jacobi inversion problem, sets of relations between the Abelian function, links to the Boussinesq equation and a new addition formula.
Keywords: Abelian function; Kleinian sigma function; Jacobi inversion problem; cyclic trigonal curve.
Received: December 31, 2009; in final form March 19, 2010; Published online March 24, 2010
Bibliographic databases:
Document Type: Article
MSC: 33E05; 14H40; 14H42
Language: English
Citation: Matthew England, “Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves”, SIGMA, 6 (2010), 025, 22 pp.
Citation in format AMSBIB
\Bibitem{Eng10}
\by Matthew England
\paper Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves
\jour SIGMA
\yr 2010
\vol 6
\papernumber 025
\totalpages 22
\mathnet{http://mi.mathnet.ru/sigma482}
\crossref{https://doi.org/10.3842/SIGMA.2010.025}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2647304}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000276572200001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896059136}
Linking options:
  • https://www.mathnet.ru/eng/sigma482
  • https://www.mathnet.ru/eng/sigma/v6/p25
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024