Uniform non-homogeneous vector bundles: A counterexample to the conjecture of Drézet and Ballico-Ellia

Graham Denham, Rosa Miró-Roig, Hal Schenck

Source record

Source: arXiv

Published: Oct 14, 2026

arXiv: 2610.20208

Open original source ↗

Source abstract

We construct a rank-9 uniform non-homogeneous vector bundle on ${\mathbb P}^5$ . This yields the first counterexample to the longstanding open conjecture that every uniform vector bundle of rank $r<2n$ on ${\mathbb P}^n$ is homogeneous.

Evidence graph

No public relationships recorded yet.

Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.