论文标题
在投影空间和引号方案上进行框架滑轮
Framed sheaves on projective space and Quot schemes
论文作者
论文摘要
我们证明，鉴于整数$ m \ geq 3 $，$ r \ geq 1 $和$ n \ geq 0 $，带有$ \ mathbb p^m $带有Chern trame $ $（r，0，0，\ ldots，0，-n）$属于iS iS planeplane $ d \ sebbB的Mathbb p^m $的模量空间$ \ mathrm {quet} _ {\ mathbb a^m}（\ Mathscr o^{\ oplus r}，n）$ of $ 0 $ -Dimensional Lengthe $ n $ n $ free sheaf sheaf $ \ mathscr O^{\ oplus r}的商品的商品。
We prove that, given integers $m\geq 3$, $r\geq 1$ and $n\geq 0$, the moduli space of torsion free sheaves on $\mathbb P^m$ with Chern character $(r,0,\ldots,0,-n)$ that are trivial along a hyperplane $D \subset \mathbb P^m$ is isomorphic to the Quot scheme $\mathrm{Quot}_{\mathbb A^m}(\mathscr O^{\oplus r},n)$ of $0$-dimensional length $n$ quotients of the free sheaf $\mathscr O^{\oplus r}$ on $\mathbb A^m$.
