Construction of normal bases by special values of modular functions

在1998年，我们得到了以下结果：我们构造了（] SU的某个阿贝尔扩张的Zp-扩张的第一层正规基。[1] Siegel模函数的特殊值。利用曲线y^2 = 1-x^5的主极化的雅可比簇，在1999年，我们得到了以下结果：构造了（] SU的射线类场中的Minkowshi单位. [）模6的Siegel模函数的特殊值。我们还构造了（] SU的射线类域中的单位群。[）模18的Siegel模函数的特殊值.在2000年，我们得到了如下结果：构造了（] SU的射线类域中的所有酉. [1] Siegel模函数的特殊值。

In 1998, we have obtained the following ;We constructed normal bases in the first layer of a Zp-extension of a certain abelian extension of (]SU.[) by special values of Siegel modular functions. We used the Jacobian variety with a principal polalization of the curve y^2=1-x^5.In 1999, we have obtained the following ;We constructed Minkowshi units in the ray class field of (]SU.[) modulo 6 by special velues of Siegel modular functions. We constructed also a unit group in the ray class field of (]SU.[) modulo 18 by special values of Siegel modular functions.In 2000, we have obtained the following ;We constructed all unies in the ray class field of (]SU.[) by special values of Siegel modular functions.