The Euler-Betti Algorithm to identify foliations in Hilbert Scheme
Algebraic Geometry
2023-04-03 v1
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.
Keywords
Cite
@article{arxiv.2303.17698,
title = {The Euler-Betti Algorithm to identify foliations in Hilbert Scheme},
author = {P. Rubí Pantaleón-Mondragón and Abraham Martín del Campo},
journal= {arXiv preprint arXiv:2303.17698},
year = {2023}
}