Coefficient rings of Tate formal groups determining Krichever genera


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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.

Sobre autores

E. Bunkova

Steklov Mathematical Institute of Russian Academy of Sciences

Autor responsável pela correspondência
Email: bunkova@mi.ras.ru
Rússia, ul. Gubkina 8, Moscow, 119991

V. Buchstaber

Steklov Mathematical Institute of Russian Academy of Sciences; Institute for Information Transmission Problems (Kharkevich Institute)

Email: bunkova@mi.ras.ru
Rússia, ul. Gubkina 8, Moscow, 119991; Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051

A. Ustinov

Khabarovsk Division of the Institute of Applied Mathematics; Pacific National University

Email: bunkova@mi.ras.ru
Rússia, ul. Dzerzhinskogo 54, Khabarovsk, 680000; Tikhookeanskaya ul. 136, Khabarovsk, 680035

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