XXX Workshop on Geometric Methods in Physics | 26.06-02.07.2011 |

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## Elena Bunkova## Krichever formal group laws.We describe the explicit form of the general elliptic formal group law corresponding to the arithmetic Tate coordinates on the elliptic curve. The differential equation on its exponential is studied. The notion of the Krichever universal formal group law is introduced. Its exponential is defined by the Baker-Akhiezer function. Results concerning the Krichever genus are obtained. The conditions necessary and sufficient for the elliptic formal group law to become the Krichever formal group law are found. |

University of Bialystok |

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