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Special classes of functions
James Freitag, Léo Jimenez, Joel Nagloo
Using model theory and differential algebra, we give necessary conditions for algebraic ordinary differential equations to have a complex Pfaffian solution on some complex domain.…
Finite-dimensional differential-algebraic permutation groups
James Freitag, Léo Jimenez, Rahim Moosa
Several structural results about permutation groups of finite rank definable in differentially closed fields of characteristic zero (and other similar theories) are obtained. In pa…
Enriching a predicate and tame expansions of the integers
Gabriel Conant, Christian d'Elbée, Yatir Halevi +2
Given a structure and a stably embedded -definable set , we prove tameness preservation results when enriching the induced structure on by some furt…
CM-trivial structures without the canonical base property
Thomas Blossier, Léo Jimenez
Based on Hrushovski, Palac{í}n and Pillay's example [6], we produce a new structure without the canonical base property, which is interpretable in Baudisch's group. Said structure…
Relative internality and definable fibrations
Rémi Jaoui, Léo Jimenez, Anand Pillay
We first elaborate on the theory of relative internality in stable theories, focusing on the notion of uniform relative internality (called collapse of the groupoid in an earlier w…