Codimension one distributions of degree 2 on the three-dimensional projective space

Abstract

We establish a full classification of degree $2$ codimension one distributions on ${\mathbb{P}}^3$ according to invariants of their tangent sheaves.

arXiv comment33 pages. Final version. To appear in Journal of Pure and Applied Algebra

References in corpus (4)

• Codimension one holomorphic distributions on the projective three-space
• On the Singular Scheme of Split Foliations
• Moduli of Distributions via Singular Schemes
• On the geometry of the singular locus of a codimension one foliation in ${\mathbb{P}}^n$

Cited by in corpus (1)

• Rank-two reflexive sheaves on the projective space with second Chern class equal to four