Model Theory of Differentially Closed Fields with a Generic Automorphism

Ronald F. Bustamante Medina

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arXiv · 0907.3959

Model Theory of Differentially Closed Fields with a Generic Automorphism

Ronald F. Bustamante Medina

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Abstract

E. Hrushovski proved tha the theory of difference-differential fields has a model companion. We prove this result and other maind properties of this theory that we call DCFA. We describe the SU rank a its relation with transcendence degree. We prove a version of Zilber's dichotomy and we give a description of Abelian definable groups.

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BibTeX RIS

Ronald F. Bustamante Medina. 2009-07-23. Model Theory of Differentially Closed Fields with a Generic Automorphism. https://arxiv.org/abs/0907.3959

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