论文标题
在卡拉比YAU和通用型超曲面上的刚性和稳定平衡的曲线
Rigid and stably balanced curves on Calabi-Yau and general-type hypersurfaces
论文作者
论文摘要
如果$ x $上的曲线$ c $稳定平衡，如果其正常捆绑$ n $的较难的纳拉西姆汉（Narasimhan）过滤的斜率以1个间隔为1。对于每个$ d \ geq n+1 $，我们构建了一些普通的pairs $（c，x）$ $ x $ $ x $ $ a $ $ a $ $ a $ p^$ p^$ p^$ p^$ p^$ c的$ c，$ c $ c $ c $ c $ c $ c。 $ x $上的均衡刚性曲线，使得Hypersurfaces $ x $的家族在Hypersurfaces的空间中是平滑的codimension $ h^1（n）$。
A curve $C$ on a variety $X$ is stably balanced if the slopes of the Harder-Narasimhan filtration of its normal bundle $N$ are contained in an interval of length 1. For each $d\geq n+1$ we construct some regular families of pairs $(C, X)$ of the expected dimension with $X$ a hypersurface of degree $d$ in $\mathbb P^n$ and $C$ a stably balanced rigid curve on $X$, such that the family of hypersurfaces $X$ is smooth codimension $h^1(N)$ in the space of hypersurfaces.
