4 papers
Abelian Relations are Liouvillian
Gabriel Fazoli, Jorge Vitório Pereira
We prove that every germ of an abelian relation of a codimension-one web on a complex projective manifold is defined over a Liouvillian extension of the function field.
Jets of flat partial connections II
Gabriel Fazoli
We define and study jets of flat partial connections with respect to singular foliations. In particular, we use the first sheaf of transverse jets to address the problem of extendi…
Jets of flat partial connections
Gabriel Fazoli
We define and study jets of flat partial connections in the setting of smooth foliations and flat partial connections on locally free sheaves. In the case of codimension one foliat…
Transversely projective structures on smooth foliations on surfaces
Gabriel Fazoli, Caio Melo, Jorge Vitório Pereira
Brunella's classification implies that every smooth foliation on a compact complex surface admits a singular transversely projective structure. However, Biswas and Dumitrescu's rec…