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

TL;DR

This paper provides a complete classification of degree 2 codimension one distributions on the three-dimensional projective space based on the invariants of their tangent sheaves.

Contribution

It offers a comprehensive classification of these distributions, advancing understanding of their structure and invariants.

Findings

Complete classification of degree 2 distributions on P^3

Identification of key invariants of tangent sheaves

Framework for analyzing similar distributions in algebraic geometry

Abstract

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