Constructive exceptional bundles on $\mathbb{P}^3$
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866917625491095552 |
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| author | Gould, Benjamin |
| author_facet | Gould, Benjamin |
| contents | We give a complete classification of the Chern characters of constructive exceptional vector bundles on $\mathbb{P}^3$ analogous to the work of Drézet and Le Potier on $\mathbb{P}^2$, and using this classification prove that a constructive exceptional bundle $E$ on $\mathbb{P}^3$ with $μ(E) \geq 0$ is globally generated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_04984 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Constructive exceptional bundles on $\mathbb{P}^3$ Gould, Benjamin Algebraic Geometry We give a complete classification of the Chern characters of constructive exceptional vector bundles on $\mathbb{P}^3$ analogous to the work of Drézet and Le Potier on $\mathbb{P}^2$, and using this classification prove that a constructive exceptional bundle $E$ on $\mathbb{P}^3$ with $μ(E) \geq 0$ is globally generated. |
| title | Constructive exceptional bundles on $\mathbb{P}^3$ |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2208.04984 |