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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…
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…
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…
Log Baum--Bott Residues for foliations by curves
Maurício 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…