Solutions to arithmetic differential equations in algebraically closed fields
Number Theory
2019-11-04 v1
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.
Cite
@article{arxiv.1911.00112,
title = {Solutions to arithmetic differential equations in algebraically closed fields},
author = {Alexandru Buium and Lance Edward Miller},
journal= {arXiv preprint arXiv:1911.00112},
year = {2019}
}