Codimension one distributions of degree 3 on the three-dimensional projective space
Algebraic Geometry
2025-05-30 v1
Abstract
We make a classification of codimension one degree 3 distributions on the projective three space, giving possible Chern classes of the tangent sheaf and describing de zero and one dimensional components of the singular scheme of the distribution. Also, we show the existence and describe some moduli spaces of such distributions, using the concept of stability of the tangent sheaf.
Keywords
Cite
@article{arxiv.2505.23241,
title = {Codimension one distributions of degree 3 on the three-dimensional projective space},
author = {Hugo Galeano and Orlando Chaljub},
journal= {arXiv preprint arXiv:2505.23241},
year = {2025}
}