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math.DS2019
Invariant Hypersurfaces and Nodal Components of Foliations
Felipe Cano, Jean François Mattei, Marianna Ravara-Vago
It is known that there is at least an invariant analytic curve passing through each of the components in the complement of nodal singularities, after the reduction of singularities…
math.AG2019
Invariant Surfaces for Toric Type Foliations in Dimension Three
Felipe Cano, Beatriz Molina-Samper
A foliation is of toric type when it has a combinatorial reduction of singularities. We show that every toric type foliation on (C3, 0), without saddle-nodes, has invariant surface…