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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.AG2018
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…