3 papers
math.CV2025
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…
math.CV2025
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…
math.CV2025
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…