Foliations on ℂℙ2 of degree 2 with degenerate singularities

Applying Geometric Invariant Theory (GIT), we study the stability of foliations of degree 3 on $$\mathbb {P}^{2}$$ P 2 with a unique singular point of multiplicity 1, 2, or 3 and Milnor number 13. In particular, we characterize those foliations for multiplicity 2 in three cases: stable, strictly semistable, and unstable.

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Foliations on $$\mathbb {CP}^2$$ CP 2 of degree d with a singular point with Milnor number $$d^2+d+1$$ d 2 + d + 1

Alcántara

2017

Rev Mat Complut

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Foliations on ℂℙ2 of degree 2 with degenerate singularities

Cited by 6 publications

References 5 publications

A Family of Foliations with One Singularity

A Family of Foliations with One Singularity

On the GIT-Stability of Foliations of Degree 3 with a Unique Singular Point

Foliations on $$\mathbb {CP}^2$$ CP 2 of degree d with a singular point with Milnor number $$d^2+d+1$$ d 2 + d + 1

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