论文标题
$ \ +叠加{m} _ {0，n}（\ mathbb {p}^1,1）$ a mori dream space？
When is $\overline{M}_{0,n}(\mathbb{P}^1,1)$ a Mori dream space?
论文作者
论文摘要
我们证明，$ n $ - 点稳定的稳定映射$ \叠加{m} _ {0，n}（\ mathbb {p}^1,1）$是MORI的梦想空间，每当Moduli Space $ \ Overline $ \ Overline {M} {M} _ {0，N+3} $（$（N+3）$（N+3）$时，我们还表明，$ \叠加{m} _ {0，n}（\ mathbb {p}^1,1）$是$ n \ le 5 $的log fano品种。
We prove that the moduli space of $n$-pointed stable maps $\overline{M}_{0,n}(\mathbb{P}^1,1)$ is a Mori dream space whenever the moduli space $\overline{M}_{0,n+3}$ of $(n+3)$-pointed rational curves is. We also show that $\overline{M}_{0,n}(\mathbb{P}^1,1)$ is a log Fano variety for $n \le 5$.
