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

Benjamin Gould

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

Algebraic Geometry 2024-04-01 v4

Authors: Benjamin Gould

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.

Keywords

vector bundles exceptional sequences

Cite

@article{arxiv.2208.04984,
  title  = {Constructive exceptional bundles on $\mathbb{P}^3$},
  author = {Benjamin Gould},
  journal= {arXiv preprint arXiv:2208.04984},
  year   = {2024}
}

Comments

v4, 28 pages. Incorrect argument replaced with a correct one (Lemma 3.15 in this version)

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