Work

Distributions with Unstable Tangent Sheaf on $${\mathbb {P}^{3}}$$

Year: 2026

Type: article

Abstract: We study codimension one distributions on the projective three-space, focusing on cases where the tangent sheaf of the distribution is nonsplit and unstable. We relate the order of instability to the degree of the induced subfoliation by curves, showing that the order of instability is bounded. Moreover, we classify the tangent sheaf of the codimension one distributions that admit a subfoliation by curves of degree 1. In other words, assuming the sheaf is nonsplit, we classify the situations in which the tangent sheaf attains the maximal possible order of instability.

Source: Mediterranean Journal of Mathematics

DOI: 10.1007/s00009-026-03120-4

Author: Pedro Pfarrius Barbassa

Institution: Universidade Estadual de Campinas (UNICAMP)

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior