论文标题
Fano Hyperfaces上具有稳定或可半固定的正常束的曲线
Curves with stable or semistable normal bundle on Fano hypersurfaces
论文作者
论文摘要
For every $n\geq 3, g\geq 1$ and all large enough $e$ depending on $n,g$, there exist curves of genus $g$, degree $e$ in a general hypersurface of degree $n$ in $\mathbb P^n$, or in $\mathbb P^n$ itself, whose whose normal bundle $N$ is stable, as is any sufficiently general full-rank subsheaf of $N$.对于$ g = 1 $，$ n $是半稳定的。在$ \ mathbb p^n $中的一般超出表面上，因此在$ d，n，g $持有的某些算术条件上，存在$ e $值的算术进度，以便具有$ e $ $ e $的曲线和$ g $的曲线，并且具有可半固定的正常束。以前的结果仅限于具有环境空间$¶^n $的某些情况
For every $n\geq 3, g\geq 1$ and all large enough $e$ depending on $n,g$, there exist curves of genus $g$, degree $e$ in a general hypersurface of degree $n$ in $\mathbb P^n$, or in $\mathbb P^n$ itself, whose whose normal bundle $N$ is stable, as is any sufficiently general full-rank subsheaf of $N$. For $g=1$, $N$ is semi-stable. On general hypersurface of degree $d< n$ in $\mathbb P^n$, such that a certain arithmetical condition on $d,n, g $ holds, there exists an arithmetical progression of $e$ values so that curves of degree $e$ and genus $g$ with semistable normal bundle exist. Previous results were restricted to certain cases with ambient space $¶^n$
