17 citations · 23 across the 7 of their papers we have counts for
8 papers
A model theory for meromorphic vector fields
Rahim Moosa
Motivated by the study of meromorphic vector fields, a model theory of "compact complex manifolds equipped with a generic derivation" is here proposed. This is made precise by the…
A differential analogue of the wild automorphism conjecture
Jason Bell, Colin Ingalls, Rahim Moosa +1
A differential analogue of the conjecture of Reichstein, Rogalski, and Zhang in algebraic dynamics is here established: if is a projective variety over an algebraically closed…
The degree of nonminimality is at most two
James Freitag, Rémi Jaoui, Rahim Moosa
It is shown that if is a complete type of Lascar rank at least 2 over , in the theory of differentially closed fields of characteristic zero, then there exists a pair of rea…
Model theory of fields with free operators in characteristic zero
Rahim Moosa, Thomas Scanlon
Generalising and unifying the known theorems for difference and differential fields, it is shown that for every finite free -algebra over a field of…
Generalised Hasse-Schmidt varieties and their jet spaces
Rahim Moosa, Thomas Scanlon
This work provides a unified formalism for studying difference and (Hasse-) differential algebraic geometry, by introducing a theory of "iterative Hasse rings and schemes". As an a…
Jet and prolongation spaces
R. Moosa, T. Scanlon
The notion of prolongation of an algebraic variety is developed in an abstract setting that generalises the difference and (Hasse) differential contexts. An interpolating map that…