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Coefficient rings of Tate formal groups determining Krichever genera

  • E. Yu. Bunkova
  • V. M. Buchstaber
  • A. V. Ustinov
Article
  • 22 Downloads

Abstract

The paper is devoted to problems at the intersection of formal group theory, the theory of Hirzebruch genera, and the theory of elliptic functions. In the focus of our interest are Tate formal groups corresponding to the general five-parametric model of the elliptic curve as well as formal groups corresponding to the general four-parametric Krichever genus. We describe coefficient rings of formal groups whose exponentials are determined by elliptic functions of levels 2 and 3.

Keywords

Formal Group STEKLOV Institute Elliptic Curve Complex Manifold Elliptic Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  • E. Yu. Bunkova
    • 1
  • V. M. Buchstaber
    • 1
    • 2
  • A. V. Ustinov
    • 3
    • 4
  1. 1.Steklov Mathematical Institute of Russian Academy of SciencesMoscowRussia
  2. 2.Institute for Information Transmission Problems (Kharkevich Institute)Russian Academy of SciencesMoscowRussia
  3. 3.Khabarovsk Division of the Institute of Applied MathematicsFar Eastern Branch of the Russian Academy of SciencesKhabarovskRussia
  4. 4.Pacific National UniversityKhabarovskRussia

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