Model theory of fields with finite group scheme actions
Logic
2020-06-08 v1
Abstract
We study model theory of fields with actions of a fixed finite group scheme. We prove the existence and simplicity of a model companion of the theory of such actions, which generalizes our previous results about truncated iterative Hasse-Schmidt derivations and about Galois actions. As an application of our methods, we obtain a new model complete theory of actions of a finite group on fields of finite imperfection degree.
Cite
@article{arxiv.2006.03147,
title = {Model theory of fields with finite group scheme actions},
author = {Daniel Max Hoffmann and Piotr Kowalski},
journal= {arXiv preprint arXiv:2006.03147},
year = {2020}
}