Solutions to arithmetic differential equations in algebraically closed fields
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2019
- DOI:
- 10.48550/arXiv.1911.00112
- arXiv:
- arXiv:1911.00112
- Bibcode:
- 2019arXiv191100112B
- Keywords:
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- Mathematics - Number Theory