A remark by Daniel Ferrand on bundles on Fano threefolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866911685978095616 |
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| author | Casnati, Gianfranco Lopez, Angelo Felice |
| author_facet | Casnati, Gianfranco Lopez, Angelo Felice |
| contents | Let $X$ be a Fano threefold with index $i_X$ and fundamental line bundle $\mathcal O_X(h)$. We classify $μ$-semistable rank two bundles $\mathcal E$ on $X$ with $c_1(\mathcal E)=0$, $h^0(\mathcal E) \ne 0$ and $h^1(\mathcal E(-\lceil\frac{i_X}{2}\rceil h))=0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_04158 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A remark by Daniel Ferrand on bundles on Fano threefolds Casnati, Gianfranco Lopez, Angelo Felice Algebraic Geometry 14J45 (Primary), 14D21, 14J60 (Secondary) Let $X$ be a Fano threefold with index $i_X$ and fundamental line bundle $\mathcal O_X(h)$. We classify $μ$-semistable rank two bundles $\mathcal E$ on $X$ with $c_1(\mathcal E)=0$, $h^0(\mathcal E) \ne 0$ and $h^1(\mathcal E(-\lceil\frac{i_X}{2}\rceil h))=0$. |
| title | A remark by Daniel Ferrand on bundles on Fano threefolds |
| topic | Algebraic Geometry 14J45 (Primary), 14D21, 14J60 (Secondary) |
| url | https://arxiv.org/abs/2212.04158 |