Rank-two reflexive sheaves on the projective space with second Chern class equal to four
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913817496125440 |
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| author | Jardim, Marcos Muniz, Alan |
| author_facet | Jardim, Marcos Muniz, Alan |
| contents | We study rank-two reflexive sheaves on $\mathbb{P}^3$ with $c_2 =4$, expanding on previous results for $c_2\le3$. We show that every spectrum not previously ruled out is realized. Moreover, moduli spaces are studied and described in detail for $c_1=-1$ or $0$ and $c_3\ge8$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_05509 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rank-two reflexive sheaves on the projective space with second Chern class equal to four Jardim, Marcos Muniz, Alan Algebraic Geometry 14F06, 14D20 We study rank-two reflexive sheaves on $\mathbb{P}^3$ with $c_2 =4$, expanding on previous results for $c_2\le3$. We show that every spectrum not previously ruled out is realized. Moreover, moduli spaces are studied and described in detail for $c_1=-1$ or $0$ and $c_3\ge8$. |
| title | Rank-two reflexive sheaves on the projective space with second Chern class equal to four |
| topic | Algebraic Geometry 14F06, 14D20 |
| url | https://arxiv.org/abs/2312.05509 |