Model theory of fields with finite group scheme actions

Daniel Max Hoffmann; Piotr Kowalski

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arXiv · 2006.03147

Model theory of fields with finite group scheme actions

Daniel Max Hoffmann·Piotr Kowalski

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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.

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BibTeX RIS

Daniel Max Hoffmann, Piotr Kowalski. 2020-06-04. Model theory of fields with finite group scheme actions. https://arxiv.org/abs/2006.03147

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