6 papers
Wild automorphisms and compound isotriviality
Jason Bell, Rahim Moosa
Inspired by the model theory of difference fields in characteristic zero, a class of automorphisms of an algebraic variety, here called compound fundamental isotrivial, is introduc…
Definable Galois theory for bimeromorphic geometry
Rahim Moosa, Anand Pillay
The outlines of a "Galois theory" for bimeromorphic geometry is here developed, via the study of model-theoretic definable binding groups in the theory CCM of compact complex space…
Binding groups for algebraic dynamics
Moshe Kamensky, Rahim Moosa
A binding group theorem is proved in the context of quantifier-free internality to the fixed field in difference-closed fields of characteristic zero. This is articulated as a stat…
A transformal transcendence result for algebraic difference equations
Moshe Kamensky, Rahim Moosa
Given an algebraic difference equation of the form \[Ï^n(y)=f\big(y, Ï(y),\dots,Ï^{n-1}(y)\big)\] where is a rational function over a field of characteristic zero on whi…
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…
Effective isotrivial Mordell-Lang in positive characteristic
Jason Bell, Dragos Ghioca, Rahim Moosa
The isotrivial Mordell-Lang theorem of Moosa and Scanlon describes the set when is a subvariety of a semiabelian variety over a finite field and $Î…