微分过收敛

摘要：

我们证明了算术微分方程的（非分歧）理论中出现的一些基本微分函数，特别是该理论中的一些基本微分模形式，产生于“分歧情形”。这个性质可以看作是一种特殊的超收敛性质。人们也可以在相反的方向，通过使用微分函数，出现在分歧的情况下，以构建“新的”（非分歧）微分函数。

英文摘要：

We prove that some of the basic differential functions appearing in the (unramified) theory of arithmetic differential equations, especially some of the basic differential modular forms in that theory, arise from a "ramified situation". This property can be viewed as a special kind of overconvergence property. One can also go in the opposite direction by using differential functions that arise in a ramified situation to construct "new" (unramified) differential functions.

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