XXX Workshop on Geometric Methods in Physics 26.06-02.07.2011

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.

Event sponsored by:

Webpage by: Tomasz GolinskiTomasz Golinski