2 citations · 2 across the 5 of their papers we have counts for
7 papers
Radial foliations in dimension three
Felipe Cano, Beatriz Molina-Samper
Radial germs of holomorphic foliations in dimension two have a characteristic property: they are the only singular foliations whose reduction of singularities has no singular point…
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…
Stratified Reduction of Singularities of Generalized Analytic Functions
B. Molina-Samper, J. Palma-Márquez, F. Sanz-Sánchez
Generalized analytic functions over generalized analytic manifolds are build from sums of convergent real power series with non-negative real exponents (and some well-ordering cond…
Newton Non-degenerate Foliations and Blowing-ups
Beatriz Molina-Samper
A codimension one singular holomorphic foliation is Newton non-degenerate if it satisfies the classical conditions of Kouchnirenko and Oka, in terms of its Newton polyhedra system.…
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…
Global Invariant Branches of Non-degenerate Foliations on Projective Toric Surfaces
Beatriz Molina-Samper
We show that the isolated invariant branches globalize to algebraic curves, when we consider weak toric type complex hyperbolic foliations on projective toric ambient surfaces. To…
Combinatorial Aspects of Classical Resolution of Singularities
Beatriz Molina-Samper
We describe combinatorial aspects of classical resolution of singularities that are free of characteristic and can be applied to singular foliations and vector fields as well as to…