论文标题
一对线性空间的希尔伯特方案是一个莫里的梦想空间
The Hilbert scheme of a pair of linear spaces is a Mori dream space
论文作者
论文摘要
令$ h_ {a，b}^n $表示希尔伯特方案的组成部分，其一般点为$ a $ a-plane union a $ b $ - 平面在$ \ mathbf {p}^n $中thressession thressession thressection themertsection the $ b $ plane。我们描述了$ h_ {a，b}^n $的有效和nef锥，并确定何时组件为fano。此外，我们表明$ h_ {a，b}^n $是所有值$ a，b，n $的mori梦想空间。
Let $H_{a,b}^n$ denote the component of the Hilbert scheme whose general point parameterizes an $a$-plane union a $b$-plane meeting transversely in $\mathbf{P}^n$. We describe the effective and nef cones of $H_{a,b}^n$ and determine when the component is Fano. Moreover, we show that $H_{a,b}^n$ is a Mori dream space for all values of $a,b,n$.
