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math.DS2020
Logarithmic Models for Non-Dicritical Foliations
Felipe Cano, Nuria Corral
We show the existence of an essentially unique logarithmic model for any germ of non-dicritical singular holomorphic foliation of codimension one in without sad…
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.DS2012★ 2 cited
Infinitesimal Poincaré-Bendixson Problem in dimension three
C. Alonso-González, F. Cano, R. Rosas
We describe the sets of accumulation of secants for orbits of real analytic vector fields in dimension three having the origin as only ω-limit point. It is a kind of infinitesimal…