17 citations · 23 across the 7 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
Jet spaces in complex analytic geometry: an exposition
Rahim Moosa
These notes are an exposition and synthesis of various "jet space" constructions in complex analytic geometry. They are written primarily for model-theorists interested in the resu…
F-structures and integral points on semiabelian varieties over finite fields
Rahim Moosa, Thomas Scanlon
Motivated by the problem of determining the structure of integral points on subvarieties of semiabelian varieties defined over finite fields, we prove a quantifier elimination resu…