6 papers · 1 filter
Generic vector fields on isolated complex hypersurface germs
Diogo da Silva Machado, Jose Seade
We study holomorphic vector fields on isolated hypersurface singularities and derive global obstructions to the existence of holomorphic vector fields on compact singular varieties…
Log Baum--Bott Residues for foliations by curves
MaurÃcio Corrêa, Fernando Lourenço, Diogo Machado
We prove a Baum--Bott type residual formula for one-dimensional holomorphic foliations, and logarithmic along free divisors. More precisely, this provides a Baum--Bott theorem for…
Bounds and formulas for residues of singular holomorphic foliations and applications
Diogo da Silva Machado
We consider one dimensional holomorphic foliations with isolated singularities that leave invariant a local complete intersection. We establish explicit formulas for the total GSV…
Formulas for Residues of Type Camacho-Sad and Applications
Diogo Da Silva Machado
In this paper, we provide formulas for the sum of residues of type Camacho-Sad of a holomorphic foliation with respect to an invariant analytic subvariety. As application, in conte…
The Schwartz index and the residue of logarithmic foliations along a hypersurface with isolated singularities
Diogo Da Silva Machado
Given a compact complex manifold , we prove a Baum-Bott type formula for one-dimensional holomorphic foliations on that are logarithmic along a hypersurface with isolated si…
Global residue formula for logarithmic indices of foliations
MaurÃcio Corrêa, Diogo da Silva Machado
We prove a global residual formula in terms of logarithmic indices for one-dimensional holomorphic foliations, with isolated singularities, and logarithmic along normal crossing di…