论文标题
一些引号方案的Picard组
Picard Groups of Some Quot Schemes
论文作者
论文摘要
令$ c $为复数$ \ mathbb {c} $属$ g（c）> 0 $的平稳的投射曲线。让$ e $成为排名$ r $和度$ e $的$ c $的本地免费捆绑。令$ \ mathcal {q}：= {\ rm quot} _ {c/\ mathbb {c}}}（e，k，d）$表示等级$ k $ $ e $ o $ k $和度量$ d $的商的引号。对于$ k> 0 $和$ d \ gg 0 $，我们计算$ \ mathcal {q} $的Picard组。
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 $\mathcal{Q}$.
