Solutions to arithmetic differential equations in algebraically closed fields

Alexandru Buium; Lance Edward Miller

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arXiv · 1911.00112

Solutions to arithmetic differential equations in algebraically closed fields

Alexandru Buium·Lance Edward Miller

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Abstract

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.

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Alexandru Buium, Lance Edward Miller. 2019-10-31. Solutions to arithmetic differential equations in algebraically closed fields. https://arxiv.org/abs/1911.00112

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