Picard Groups of Some Quot Schemes
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909120578191360 |
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| author | Gangopadhyay, Chandranandan Sebastian, Ronnie |
| author_facet | Gangopadhyay, Chandranandan Sebastian, Ronnie |
| contents | Let $C$ be a smooth projective curve over the field of complex numbers $\mathbb{C}$ of genus $g(C)>0$. Let $E$ be a locally free sheaf on $C$ of rank $r$ and degree $e$. Let $\mathcal{Q}:={\rm Quot}_{C/\mathbb{C}}(E,k,d)$ denote the Quot scheme of quotients of $E$ of rank $k$ and degree $d$. For $k>0$ and $d\gg 0$ we compute the Picard group of $\mathcal{Q}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_17179 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Picard Groups of Some Quot Schemes Gangopadhyay, Chandranandan Sebastian, Ronnie Algebraic Geometry 14J60 Let $C$ be a smooth projective curve over the field of complex numbers $\mathbb{C}$ of genus $g(C)>0$. Let $E$ be a locally free sheaf on $C$ of rank $r$ and degree $e$. Let $\mathcal{Q}:={\rm Quot}_{C/\mathbb{C}}(E,k,d)$ denote the Quot scheme of quotients of $E$ of rank $k$ and degree $d$. For $k>0$ and $d\gg 0$ we compute the Picard group of $\mathcal{Q}$. |
| title | Picard Groups of Some Quot Schemes |
| topic | Algebraic Geometry 14J60 |
| url | https://arxiv.org/abs/2210.17179 |