Felipe Cano

most citedReduction of Singularities of Three-Dimensional Line Foliations

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

collaborators

3 papers

math.AG2023

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…

math.DS2014

Partial separatrices and local Brunella's alternative

Felipe Cano, Marianna Ravara-Vago

Here we state a conjecture concerning a local version of Brunella's alternative: any codimension one foliation in $(C^{3}, 0)$ without germ of invariant surface has a neighb…

math.AG2010★ 3 cited

Reduction of Singularities of Three-Dimensional Line Foliations

Felipe Cano, Claude Roche, Mark Spivakovsky

We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformizat…