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arXiv · 2304.04352

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

Abel Castorena·P. Rubí Pantaleón-Mondragón·Juan Vásquez Aquino
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Abstract

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 particular, we characterize those foliations for multiplicity 2 in three cases: stable, strictly semistable, and unstable.

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Abel Castorena, P. Rubí Pantaleón-Mondragón, Juan Vásquez Aquino. 2023-04-10. On the stability of foliations of degree 3 with a unique singular point. https://arxiv.org/abs/2304.04352

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