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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) Russian version article
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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
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”, Sb. Math., 206:11 (2015), 1524–1563
Citation in format AMSBIB
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\yr 2015
\vol 206
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  • 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
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    References:79
    First page:61
     
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