10 citations · 17 across the 9 of their papers we have counts for
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On the density of strongly minimal algebraic vector fields
Rémi Jaoui
Two theorems witnessing the abundance of geometrically trivial strongly minimal autonomous differential equations of arbitrary order are shown. The first one states that a generic…
Abelian reduction in differential-algebraic and bimeromorphic geometry
Rémi Jaoui, Rahim Moosa
A new tool for the model theory of differentially closed fields and of compact complex manifolds is here developed. In such settings, it is shown that a type internal to the field…
When any three solutions are independent
James Freitag, Rémi Jaoui, Rahim Moosa
Given an algebraic differential equation of order greater than one, it is shown that if there is any nontrivial algebraic relation amongst any number of distinct nonalgebraic solut…
Rational factors, invariant foliations and algebraic disintegration of compact mixing Anosov flow of dimension
Rémi Jaoui
In this article, we develop a geometric framework to study the notion of semi-minimality for the generic type of a smooth autonomous differential equation , based on the stu…