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arXiv · 2210.17179

Picard Groups of Some Quot Schemes

Chandranandan Gangopadhyay·Ronnie Sebastian
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Abstract

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 $\mathcal{Q}$.

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Chandranandan Gangopadhyay, Ronnie Sebastian. 2022-10-31. Picard Groups of Some Quot Schemes. https://arxiv.org/abs/2210.17179

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