P. Pantaleón-Mondragón

collaborators

3 papers

math.AG2026

Projective Foliations with a Unique Singular Point and Maximum Algebraic Multiplicity

Jorge Mozo-Fernández, P. Rubí Pantaleón-Mondragón

The study of codimension-one holomorphic foliations on the projective plane $CP^{2}$ with a unique singular point has attracted increasing interest because of its connecti…

math.AG2026

Initial Ideals, Low-degree Foliations and the Hilbert Scheme of Points on $CP^{2}$ : A First Approach

P. Rubí Pantaleón-Mondragón

The holomorphic foliations of degree $d$ on $CP^{2}$ with isolated singularities are determined by their singular subschemes, which correspond to elements in the Hilbert S…

math.AG2023

On the stability of foliations of degree 3 with a unique singular point

Abel Castorena, P. Rubí Pantaleón-Mondragón, Juan Vásquez Aquino

Applying Geometric Invariant Theory (GIT), we study the stability of foliations of degree 3 on P^2 with a unique singular point of multiplicity 1, 2, or 3 and Milnor number 13. In…

Projective Foliations with a Unique Singular Point and Maximum Algebraic Multiplicity

Initial Ideals, Low-degree Foliations and the Hilbert Scheme of Points on CP2: A First Approach

On the stability of foliations of degree 3 with a unique singular point

Initial Ideals, Low-degree Foliations and the Hilbert Scheme of Points on $CP^{2}$ : A First Approach