61 citations · 75 across the 6 of their papers we have counts for
5 papers · 1 filter
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.
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…
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…
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…