5 papers
The space of foliations on projective spaces in positive characteristic
Wodson Mendson, Jorge Vitório Pereira
This work explores the space of foliations on projective spaces over algebraically closed fields of positive characteristic, with a particular focus on the codimension one case. It…
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…
Unlikely intersections of codimension one foliations
Gabriel Santos Barbosa, Jorge Vitório Pereira
We study families of singular holomorphic foliations on complex projective manifolds whose total intersection defines a foliation of unexpectedly low codimension.
Distributions with locally free tangent sheaf
J. V. Pereira, J. P. dos Santos
In the paper Stability of Holomorphic Foliations with Split Tangent Sheaf one finds a study of the locus where the tangent sheaf of a {\it family} of foliations in $…
Numerically flat foliations and holomorphic Poisson geometry
Stéphane Druel, Jorge Vitório Pereira, Brent Pym +1
We investigate the structure of smooth holomorphic foliations with numerically flat tangent bundles on compact Kähler manifolds. Extending earlier results on non-uniruled projecti…