6 citations · 13 across the 8 of their papers we have counts for
11 papers
Idealistic Flowers in the Reduction of Singularities
Felipe Cano, Beatriz Molina-Samper
We present here a proof of the classical reduction of singularities based on the idea of "idealistic flowers". We follow the general ideas of Maximal Contact Theory, presented in a…
Analytic semiroots for plane branches and singular foliations
Felipe Cano, Nuria Corral, David Senovilla-Sanz
The analytic moduli of equisingular plane branches has the semimodule of differential values as the most relevant system of discrete invariants. Focusing in the case of cusps, the…
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…
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…
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…
Truncated Local Uniformization of Formal Integrable Differential Forms
F. Cano, M. Fernández-Duque
We prove the existence of Local Uniformization for rational codimension one foliations along rational rank one valuations, in any ambient dimension. This result is consequence of t…