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arXiv · 2303.17698

The Euler-Betti Algorithm to identify foliations in Hilbert Scheme

P. Rubí Pantaleón-Mondragón·Abraham Martín del Campo
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Abstract

Foliations in the complex projective plane are uniquely determined by their singular locus, which is in correspondence with a zero-dimensional ideal. However, this correspondence is not surjective. We give conditions to determine whether an ideal arises as the singular locus of a foliation or not. Furthermore, we give an effective method to construct the foliation in the positive case.

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P. Rubí Pantaleón-Mondragón, Abraham Martín del Campo. 2023-03-30. The Euler-Betti Algorithm to identify foliations in Hilbert Scheme. https://arxiv.org/abs/2303.17698

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