Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 320–328 (Mi smj1960)  
This article is cited in 3 scientific papers (total in 3 papers)

Theta functions on the Kodaira–Thurston manifold

D. V. Egorov

Institute for Mathematics and Informatics, Yakutsk State University, Yakutsk
Full-text PDF (303 kB) Citations (3)
References:
PDF
HTML
Abstract: We construct an analog of the classical theta function on an abelian variety for the Kodaira–Thurston nilmanifold, which is defined as a (nonholomorphic) section of a special complex line bundle over the Kodaira–Thurston manifold. The theta functions we introduce are used for a canonical symplectic embedding of the Kodaira–Thurston manifold into a complex projective space (an analog of the Lefschetz theorem).
Keywords: theta function, Kodaira–Thurston manifold, symplectic embedding.
Received: 05.12.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 2, Pages 253–260
DOI: https://doi.org/10.1007/s11202-009-0029-0
Bibliographic databases:
UDC: 514.76
Language: Russian
Citation: D. V. Egorov, “Theta functions on the Kodaira–Thurston manifold”, Sibirsk. Mat. Zh., 50:2 (2009), 320–328; Siberian Math. J., 50:2 (2009), 253–260
Citation in format AMSBIB
\Bibitem{Ego09}
\by D.~V.~Egorov
\paper Theta functions on the Kodaira--Thurston manifold
\jour Sibirsk. Mat. Zh.
\yr 2009
\vol 50
\issue 2
\pages 320--328
\mathnet{http://mi.mathnet.ru/smj1960}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2531757}
\elib{https://elibrary.ru/item.asp?id=12941099}
\transl
\jour Siberian Math. J.
\yr 2009
\vol 50
\issue 2
\pages 253--260
\crossref{https://doi.org/10.1007/s11202-009-0029-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000265386500008}
\elib{https://elibrary.ru/item.asp?id=13601121}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-65349108049}
Linking options:
  • https://www.mathnet.ru/eng/smj1960
  • https://www.mathnet.ru/eng/smj/v50/i2/p320
    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:326
    Full-text PDF :100
    References:63
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024