2 citations · 2 across the 1 of their papers we have counts for
3 papers
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…
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…