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math.DS2018
Invariant curves for holomorphic foliations on singular surfaces
Edileno de Almeida Santos
The Separatrix Theorem of C. Camacho and P. Sad guarantees the existence of invariant curve (separatrix) passing through the singularity of germ of holomorphic foliation on complex…
math.DS2016
Positive Rational Nodal Leaves on Surfaces
Edileno de Almeida Santos
We consider singular holomorphic foliations on compact complex surfaces with invariant rational nodal curve of positive self-intersection. Then, under some assumptions, we list all…