Codimension one distributions of degree 3 on the three-dimensional projective space

Fuente: arXiv
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Autores principales: Galeano, Hugo, Chaljub, Orlando
Formato: Preprint
Publicado: 2025
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author Galeano, Hugo
Chaljub, Orlando
author_facet Galeano, Hugo
Chaljub, Orlando
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_23241
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Codimension one distributions of degree 3 on the three-dimensional projective space
Galeano, Hugo
Chaljub, Orlando
Algebraic Geometry
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.
title Codimension one distributions of degree 3 on the three-dimensional projective space
topic Algebraic Geometry
url https://arxiv.org/abs/2505.23241