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math.AG2024
Computing a Saito basis from a standard basis
Felipe Cano, Nuria Corral, David Senovilla-Sanz
In this paper we describe how to compute a Saito basis of a cusp, a plane curve with only one Puiseux pair. Moreover, the 1-forms of the Saito basis that we compute are characteriz…
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.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…