Email this article Coefficient rings of Tate formal groups determining Krichever genera
- Authors: Bunkova E.Y.1, Buchstaber V.M.1,2, Ustinov A.V.3,4
-
Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Institute for Information Transmission Problems (Kharkevich Institute)
- Khabarovsk Division of the Institute of Applied Mathematics
- Pacific National University
- Issue: Vol 292, No 1 (2016)
- Pages: 37-62
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173437
- DOI: https://doi.org/10.1134/S0081543816010041
- ID: 173437
Cite item
Open Access
Access granted
Subscription Access
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.
About the authors
E. Yu. Bunkova
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: bunkova@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
V. M. Buchstaber
Steklov Mathematical Institute of Russian Academy of Sciences; Institute for Information Transmission Problems (Kharkevich Institute)
Email: bunkova@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991; Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051
A. V. Ustinov
Khabarovsk Division of the Institute of Applied Mathematics; Pacific National University
Email: bunkova@mi.ras.ru
Russian Federation, ul. Dzerzhinskogo 54, Khabarovsk, 680000; Tikhookeanskaya ul. 136, Khabarovsk, 680035
Supplementary files
