23 citations · 201 across the 39 of their papers we have counts for
6 papers · 2 filters
Determination of Baum-Bott residues of higher codimensional foliations
Maurício Corrêa, Fernando Lourenço
Let be a singular holomorphic foliation, of codimension , on a complex compact manifold such that its singular set has codimension . In this work we dete…
GSV-index for holomorphic Pfaff Systems
Maurício Corrêa, Diogo da Silva Machado
In this work we introduce a GSV type index for varieties invariant by holomorphic Pfaff systems (possibly non locally decomposables) on projective manifolds. We prove a non-negativ…
Codimension one holomorphic distributions on the projective three-space
Omegar Calvo-Andrade, Maurício Corrêa, Marcos Jardim
We study codimension one holomorphic distributions on the projective three-space, analyzing the properties of their singular schemes and tangent sheaves. In particular, we provide…
Residue Formulas for logarithmic Foliations and applications
Maurício Corrêa, Diogo da Silva Machado
In this work we prove a Baum-Bott type formula for non-compact complex manifold of the form , where is a complex compact manifold and is…
Residues for flags of holomorphic foliations
Jean-Paul Brasselet, Maurício Corrêa, Fernando Lourenço
In this work we prove a Baum-Bott type residue theorem for flags of holomorphic foliations. We prove some relations between the residues of the flag and the residues of their corre…
Polynomial bounds for automorphisms groups of foliations
Maurício Corrêa, Alan Muniz
Let be a foliated surface and a finite group of automorphisms of that preserves . We investigate invariant loci for and obtain upper bou…