3 papers
math.DG2026
Algebraic integrability and minimality of Lie equations for transitive, finite dimensional, non-commutative pseudogroups
Alejandro Arenas Tirado, David Blázquez-Sanz, Guy Casale
We provide an algebraic characterization of transitive, finite-dimensional algebraic Lie pseudogroups (or -groupoids) that are algebraic integrable, that is, isogenous…
math.AG2023
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…
math.DG2021
Group bundles and group connections
David Blázquez-Sanz, Carlos A. Marín-Arango, Sedney Suárez Gordon
We consider smooth families of Lie groups (group bundles) and connections that are compatible with the group operation. We characterize the space of group connections on a group bu…