We prove that the main examples in the theory of algebraic differential equations possess a remarkable total differential overconvergence property. This allows one to consider solutions to these equations with coordinates in algebraically closed fields.

中文翻译：

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代数闭域中算术微分方程的解

我们证明代数微分方程理论中的主要例子具有显着的全微分过收敛性质。这允许人们考虑在代数闭域中具有坐标的这些方程的解。