12 citations · 23 across the 2 of their papers we have counts for
6 papers
Brunella-Khanedani-Suwa variational residues for invariant currents
Mauricio Corrêa, Arturo Fernández-Pérez, Marcio G. Soares
In this work we prove a Brunella-Khanedani-Suwa variational type residue theorem for currents invariant by holomorphic foliations. As a consequence, we give conditions for the leav…
A Bott type residue formula on complex orbifolds
Maurício Corrêa, A. M. Rodríguez, Marcio G. Soares
We prove residual formulas for vector fields defined on compact complex orbifolds with isolated singularities and give some applications of these on weighted projective spaces.
Local Brunella's Alternative I. RICH Foliations
Felipe Cano, Marianna Ravara-Vago, Marcio Soares
This paper is devoted to studying the structure of codimension one singular holomorphic foliations on without invariant germs of analytic surface. We focus on t…
Hypersurfaces Invariant by Pfaff Equations
Maurício Corrêa, Luis G. Maza, Marcio G. Soares
We present results expressing conditions for the existence of meromorphic first integrals for Pfaff equations of arbitrary codimension, integrable or not, on complex manifolds. The…
Inequalities for characteristic numbers of flags of distributions and foliations
Maurício Corrêa, Marcio G. Soares
We prove inequalities relating the degrees of holomorphic distributions and of holomorphic foliations forming a flag on . Such inequalities are inspired by the so cal…
Projective varieties invariant by one-dimensional foliations
Marcio G. Soares
This work concerns the problem of relating characteristic numbers of one-dimensional holomorphic foliations of P^n to those of algebraic varieties invariant by them. More precisely…