Constructive exceptional bundles on $\mathbb{P}^3$

TL;DR

This paper classifies constructive exceptional vector bundles on projective 3-space and proves that those with non-negative slope are globally generated, extending known results from the projective plane.

Contribution

It provides a complete classification of Chern characters of constructive exceptional bundles on b^3 and establishes their global generation under certain conditions.

Findings

Complete classification of Chern characters on b^3

Constructive exceptional bundles with b^3 are globally generated if b^3 0;0.

Extends Dre9zet and Le Potier's work from b^2 to b^3.

Abstract

We give a complete classification of the Chern characters of constructive exceptional vector bundles on $\mathbb{P}^3$ analogous to the work of Dr\'ezet and Le Potier on $\mathbb{P}^2$, and using this classification prove that a constructive exceptional bundle $E$ on $\mathbb{P}^3$ with $\mu(E) \geq 0$ is globally generated.