Model Theory of Differentially Closed Fields with a Generic Automorphism

Details Model Theory of Differentially Closed Fields with a Generic Automorphism Model Theory of Differentially Closed Fields with a Generic Automorphism

2009-07-23

arxiv.org/abs/0907.3959v1

Mathematics

Logic

Doctoral thesis, advised by Zoe Chatzidakis

Scientific paper

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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