A stable version of Terao conjecture

TL;DR

This paper proposes a stable version of Terao's conjecture by utilizing the concept of infinite stable extendability of vector bundles on projective spaces, building on prior work by I. Coanda.

Contribution

It introduces a new stable framework for Terao's conjecture based on vector bundle extendability, offering a different perspective from classical approaches.

Findings

Defines a stable version of Terao's conjecture.

Characterizes infinite stable extendability of vector bundles.

Provides foundational groundwork for future research in this area.

Abstract

The aim of this note is to introduce a stable version of Terao conjecture, using the notion of infinitely stably extendability of vector bundles on $\mathbb P^n$, considered and characterized by I. Coanda in arXiv:0907.4040.