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Imaginaries, invariant types and pseudo p-adically closed fields
(2019-04-29)
In this paper, we give a general criterion for elimination of imaginaries using an abstract independence relation. We also study germs of definable functions at certain well-behaved invariant types. Finally we apply these ...
Groups with f-generics in NTP2 and PRC fields
(2018)
We study groups with f-generic types definable in bounded PRC fields. Along the way, we generalize part of the basic theory of definably amenable NIP groups to NTP2theories and prove variations on Hrushovski’s stabilizer theorem.
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 ...