4 papers
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…
Global residue formula for logarithmic indices of foliations
Maurício 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…
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…
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…