34 citations · 185 across the 30 of their papers we have counts for
27 papers · 1 filter
Bondal's conjecture in dimension five
Stéphane Druel, Jorge Vitório Pereira, Brent Pym +1
Bondal's conjecture in Poisson geometry gives lower bounds on the degeneracy loci of Poisson Fano manifolds, where the rank of the Poisson structure drops. By work of several autho…
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 $…
Submanifolds with ample normal bundle
Maycol Falla Luza, Frank Loray, Jorge Vitório Pereira
We construct germs of complex manifolds of dimension along projective submanifolds of dimension with ample normal bundle and without non-constant meromorphic functions when…
Codimension one foliations in positive characteristic
Wodson Mendson, Jorge Vitório Pereira
We investigate the geometry of codimension one foliations on smooth projective varieties defined over fields of positive characteristic with an eye toward applications to the struc…
Numerically nonspecial varieties
Jorge Vitorio Pereira, Erwan Rousseau, Frédéric Touzet
Campana introduced the class of special varieties as the varieties admitting no Bogomolov sheaves i.e. rank one coherent subsheaves of maximal Kodaira dimension in some exterior po…
A global Weinstein splitting theorem for holomorphic Poisson manifolds
Stéphane Druel, Jorge Vitório Pereira, Brent Pym +1
We prove that if a compact Kähler Poisson manifold has a symplectic leaf with finite fundamental group, then after passing to a finite étale cover, it decomposes as the product of…
Rational Endomorphisms of Codimension One Holomorphic Foliations
Federico Lo Bianco, Jorge Pereira, Erwan Rousseau +1
In this work, we study dominant rational maps preserving singular holomorphic codimension one foliations on projective manifolds and that exhibit non-trivial transverse dynamics.
Primitive Lie algebras of rational vector fields
Guy Casale, Frank Loray, Jorge Vitório Pereira +1
A transitive Lie algebra g of rational vector fields on a projective manifold which do not preserve any foliation determines a rational map to an algebraic homogenous space G/H whi…
On the formal principle for curves on projective surfaces
Jorge Vitório Pereira, Olivier Thom
We prove that the formal completion of a complex projective surface along a rigid smooth curve with trivial normal bundle determines the birational equivalence class of the surface…
Failure of the Brauer-Manin principle for a simply connected fourfold over a global function field, via orbifold Mordell
Stefan Kebekus, Jorge Vitório Pereira, Arne Smeets
Almost one decade ago, Poonen constructed the first examples of algebraic varieties over global fields for which Skorobogatov's etale Brauer-Manin obstruction does not explain the…
Hypersurfaces quasi-invariant by codimension one foliations
Jorge Vitorio Pereira, Calum Spicer
We present a variant of the classical Darboux-Jouanolou Theorem. Our main result provides a characterization of foliations which are pull-backs of foliations on surfaces by rationa…
Algebraic separatrices for non-dicritical foliations on projective spaces of dimension at least four
Jorge Vitorio Pereira
Non-dicritical codimension one foliations on projective spaces of dimension four or higher always have an invariant algebraic hypersurface. The proof relies on a strengthening of a…
Holonomy representation of quasi-projective leaves of codimension one foliations
Benoît Claudon, Frank Loray, Jorge Pereira +1
We prove that a representation of the fundamental group of a quasi-projective manifold into the group of formal diffeomorphisms of one variable either is virtually abelian or, afte…
Effective algebraic integration in bounded genus
Jorge Vitorio Pereira, Roberto Svaldi
We introduce and study birational invariants for foliations on projective surfaces built from the adjoint linear series of positive powers of the canonical bundle of the foliation.…
Toward Effective Liouvillian Integration
Gaël Cousin, Alcides Lins Neto, Jorge Vitório Pereira
We prove that foliations on the projective plane admitting a Liouvillian first integral but not admitting a rational first integral always have invariant algebraic curves of degree…
Extactic divisors for webs and lines on projective surfaces
Maycol Falla Luza, Jorge Vitorio Pereira
Given a web (multi-foliation) and a linear system on a projective surface we construct divisors cutting out the locus where some element of the linear system has abnormal contact w…
Smooth foliations on homogeneous compact Kähler manifolds
Federico Lo Bianco, Jorge Vitorio Pereira
We study smooth foliations of arbitrary codimension on homogeneous compact Kähler manifolds. We prove that smooth foliations on rational compact homogeneous manifolds are locally t…
Representations of quasiprojective groups, Flat connections and Transversely projective foliations
Frank Loray, Frédéric Touzet, Jorge Vitorio Pereira
The main purpose of this paper is to provide a structure theorem for codimension one singular transversely projective foliationson projective manifolds. To reach our goal, we first…
Polynomial Completion of Symplectic Jets and Surfaces Containing Involutive Lines
Erik Loew, Jorge V. Pereira, Han Peters +1
Motivated by work of Dragt and Abell on accelerator physics, we study the completion of symplectic jets by polynomial maps of low degrees. We use Andersén-Lempert Theory to prove t…
Foliations with vanishing Chern classes
Jorge Vitorio Pereira, Frederic Touzet
In this paper we aim at the description of foliations having tangent sheaf with on non-uniruled projective manifolds. We prove t…
Foliations with trivial canonical bundle on Fano 3-folds
Frank Loray, Jorge Vitorio Pereira, Frederic Touzet
We classify the irreducible components of the space of foliations on Fano 3-folds with rank one Picard group. As a corollary we obtain a classification of holomorphic Poisson struc…
Singular foliations with trivial canonical class
Frank Loray, Jorge Vitorio Pereira, Frederic Touzet
This paper describes the structure of singular codimension one foliations with numerically trivial canonical bundle on projective manifolds.
Resonance webs of hyperplane arrangements
Jorge Vitorio Pereira
Each irreducible component of the first resonance variety of a hyperplane arrangement naturally determines a codimension one foliation on the ambient space. The superposition of th…
Stability of foliations induced by rational maps
F. Cukierman, J. V. Pereira, I. Vainsencher
We show that the singular holomorphic foliations induced by dominant quasi-homogeneous rational maps fill out irreducible components of the space of singular f…