61 citations · 75 across the 6 of their papers we have counts for
8 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.
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.
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…
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 projectiv…
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…
Codimension one foliations of degree three on projective spaces
Raphael Constant da Costa, Ruben Lizarbe, Jorge Vitório Pereira
We establish a structure theorem for degree three codimension one foliations on projective spaces of dimension , extending a result by Loray, Pereira, and Touzet for degree…
A characterization of diagonal Poisson structures
Renan Lima, Jorge Vitorio Pereira
The degeneracy locus of a generically symplectic Poisson structure on a Fano manifold is always a singular hypersurface. We prove that there exists just one family of generically s…
Completely reducible hypersurfaces in a pencil
J. V. Pereira, S. Yuzvinsky
We study completely reducible fibers of pencils of hypersurfaces on and associated codimension one foliations of . Using methods from theory of foliation…