论文标题
低斜率lefschetz纤维
Low-slope Lefschetz fibrations
论文作者
论文摘要
对于$ g \ geq 3 $，我们构建了属 - $ g $ lefschetz纤维，其斜坡任意接近$ 2 $。可以选择Lefschetz纤维的总空间以最小化并简单地连接。还表明，斜率的imimum和最高效果所有lefschetz纤维均未实现为斜率。
For $g\geq 3$, we construct genus-$g$ Lefschetz fibrations over the two-sphere whose slopes are arbitrarily close to $2$. The total spaces of the Lefschetz fibrations can be chosen to be minimal and simply connected. It is also shown that the infimum and the supremum of slopes all Lefschetz fibrations are not realized as slopes.
