19 citations · 51 across the 14 of their papers we have counts for
15 papers
Algebraic Integrability and Minimality of Lie Equations for Transitive, Finite-Dimensional, Non-Commutative Lie Pseudogroups
Alejandro Arenas Tirado, David Blázquez-Sanz, David Blázquez Sanz +1
We provide an algebraic characterization of transitive, finite-dimensional algebraic Lie pseudogroups (or -groupoids) that are algebraically integrable, that is, isoge…
Minimality of the -groupoid of symmetries of a projective structure
Alejandro Arenas Tirado, David Blázquez-Sanz, Guy Casale
In this article we study Kummer's -groupoid, which is the groupoid of symmetries of a meromorphic projective structure. We give necessary and sufficient conditions for…
Strong minimality of triangle functions
Guy Casale, Matthew DeVilbiss, James Freitag +1
In this manuscript, we give a new proof of strong minimality of certain automorphic functions, originally results of Freitag and Scanlon (2017), Casale, Freitag, and Nagloo (2020),…
A differential approach to Ax-Schanuel, I
David Blázquez-Sanz, Guy Casale, James Freitag +1
In this paper, we prove several Ax-Schanuel type results for uniformizers of geometric structures; our general results describe the differential algebraic relations between the sol…
Primitive Lie algebras of rational vector fields
Guy Casale, Frank Loray, Jorge Vitório Pereira +1
A transitive Lie algebra g of rational vector fields on a projective manifold which do not preserve any foliation determines a rational map to an algebraic homogenous space G/H whi…
Galois groupoid and confluence of difference equations
Guy Casale, Damien Davy
In this article we compute Galois groupoid of discret Painlev{é} equations. Our main tool is a semi-continuity theorem for the Galois groupoid in a confluence situation of a diffre…