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Zilber's Dichotomy for Differentially Closed Fields with an Automorphism
(2020-07-01)
The theory of difference-differential fields of characteristic zero hasa model-companion denoted byDCFA. In [2] we prove its main properties. In[3] we proved a weak version of Zilber’s dichotomy forDCFA. In this paperwe ...
Definable Additive Subgroups of Partial Differential Fields of Characteristic Zero with an Automorphism
(2020-10-19)
Abstract.The theory of partial differential fields of characteristic zero withan automorphism has a model companion denoted DCFmA. This theory isnot complete, but its completions are easily discribed. They are supersimpleand ...
Groups definable in partial differential fields with an automorphism
(2021-09-28)
In this paper we study groups definable in existentially closed partial differential fields
of characteristic 0 with an automorphism which commutes with the derivations. In particular, we study Zariski dense definable ...