Submission date: 25 April 2019

Abstract:

E. Hrushovski proved that the theory of difference-differential fields of characteristic zero has a model-companion. We denote it DCFA. In this paper we study definable groups in a model of DCFA. First we prove that such a group is embeds on an algebraic group. Then we study 1-basedeness, stability and stable embeddability of abelian definable groups.

Mathematics Subject Classification: 11U09, 12H05, 12H10

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Full text arXiv 1904.11586: pdf, ps.