论文标题
双线在Quintic del Pezzo四倍
Double lines in the quintic del Pezzo fourfold
论文作者
论文摘要
令$ y $为del pezzo $ 4 $ - 折叠由线性部分$ \ textrm {gr}(2,5)$定义的,$ \ mathbb {p}^7 $。在本文中,我们将$ y $的正常捆绑包的类型分类,并描述其参数空间。作为推论,我们获得了$ y $的稳定地图模量空间的de象模型。另外,我们计算稳定地图空间的庞加莱多项式。
Let $Y$ be the del Pezzo $4$-fold defined by the linear section $\textrm{Gr}(2,5)$ by $\mathbb{P}^7$. In this paper, we classify the type of normal bundles of lines in $Y$ and describe its parameter space. As a corollary, we obtain the desigularized model of the moduli space of stable maps in $Y$. Also we compute the intersection Poincaré polynomial of the stable maps space.