椭圆形式群律，积分Hirzebruch类和积分Krichever类
Elliptic formal group laws, integral Hirzebruch genera and Krichever genera
摘要：
在Tate坐标系下研究椭圆曲线上的几何加法律。它对应于曲线参数为整系数的多项式环上的一般形式群律。我们研究这个法律的结构和微分方程，确定其指数。我们描述了一个5-参数家庭的Hirzebruch属的整数值稳定复杂的流形。我们引入了一般的Krichever亏格，它是由一个广义的Baker-Akhiezer函数给出的。这个函数具有贝克-阿克希泽函数的许多基本性质，但与贝克-阿克希泽函数不同的是，它不是亚纯函数，因为它可以在周期的π中有两个分支点。
英文摘要：
We consider the geometrical addition law on the elliptic curve in Tate coordinates. It corresponds to the general formal group law over the ring of polynomials with integer coefficients of the parametra of the curve. We study the structure of this law and the differential equation that determines its exponent. We describe a 5-parametric family of Hirzebruch genera with integer values on stably complex manifolds. We introduce the general Krichever genus, which is given by a generalized Baker-Akhiezer function. This function has many of the fundamental properties of the Baker-Akhiezer function, but unlike it, it is not meromorphic, because it can have two branch points in the parallelogram of periods.
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