Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2015, Volume 206, Issue 11, Pages 1524–1563
DOI: https://doi.org/10.1070/SM2015v206n11ABEH004504 (Mi sm8523) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Coefficient rings of formal group laws

V. M. Buchstaberab, A. V. Ustinovc

a Steklov Mathematical Institute of Russian Academy of Sciences
b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
c Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
English version PDF (747 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2015v206n11ABEH004504
Abstract: We describe the coefficient rings of universal formal group laws which arise in algebraic geometry, algebraic topology and their application to mathematical physics. We also describe the homomorphisms of these coefficient rings coming from reductions of one formal group law to another. The proofs are based on the number-theoretic properties of binomial coefficients.
Bibliography: 37 titles.
Keywords: formal group law, addition law, binomial coefficients, Hirzebruch genus.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00537-a
14-01-00203-а
This work was supported by the Russian Foundation for Basic Research (first author: grant no. 14-01-00537a; second author: grant no. 14-01-00203a).
Received: 26.03.2015 and 14.09.2015
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 11, Pages 19–60
DOI: https://doi.org/10.4213/sm8523
Bibliographic databases:
Document Type: Article
UDC: 512.741+517.583
MSC: 14L05, 55N22
Language: English
Original paper language: Russian
Citation: V. M. Buchstaber, A. V. Ustinov, “Coefficient rings of formal group laws”, Mat. Sb., 206:11 (2015), 19–60; Sb. Math., 206:11 (2015), 1524–1563
Citation in format AMSBIB
\Bibitem{BucUst15}
\by V.~M.~Buchstaber, A.~V.~Ustinov
\paper Coefficient rings of formal group laws
\jour Mat. Sb.
\yr 2015
\vol 206
\issue 11
\pages 19--60
\mathnet{http://mi.mathnet.ru/sm8523}
\crossref{https://doi.org/10.4213/sm8523}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3438568}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2015SbMat.206.1524B}
\elib{https://elibrary.ru/item.asp?id=24850597}
\transl
\jour Sb. Math.
\yr 2015
\vol 206
\issue 11
\pages 1524--1563
\crossref{https://doi.org/10.1070/SM2015v206n11ABEH004504}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000368476800002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84955462018}
Linking options:
  • https://www.mathnet.ru/eng/sm8523
  • https://doi.org/10.1070/SM2015v206n11ABEH004504
  • https://www.mathnet.ru/eng/sm/v206/i11/p19
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:788
    Russian version PDF:212
    English version PDF:25
    References:69
    First page:61
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024