论文标题

动力学和QKZ方程Modulo $ p^s $,一个示例

Dynamical and qKZ equations modulo $p^s$, an example

论文作者

Varchenko, Alexander

论文摘要

我们考虑了与椭圆积分方程相对应的参数的动态微分方程和QKZ差方程的关节系统的示例。我们解决了该方程式模拟系统的任何功率$ p^n $的Prime Integer $ P $。我们表明,这些解决方案的$ p $ - ad限制为$ n \ to \ infty $决定了一系列线束,相对于相应的动态连接,每个捆绑包都不变,而线束的顺序相对于相应的QKZ差异连接而言是不变的。

We consider an example of the joint system of dynamical differential equations and qKZ difference equations with parameters corresponding to equations for elliptic integrals. We solve this system of equations modulo any power $p^n$ of a prime integer $p$. We show that the $p$-adic limit of these solutions as $n\to\infty$ determines a sequence of line bundles, each of which is invariant with respect to the corresponding dynamical connection, and that sequence of line bundles is invariant with respect to the corresponding qKZ difference connection.

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