论文标题
从曲线扩展向量束
Extending Vector Bundles from Curves
论文作者
论文摘要
给定（平滑）射影品种$ c \子集X $的曲线，我们表明，C上的vector bundle $ v $可以扩展到（如果$ \ text {rank cank}（v）（v）\ geq \ geq \ geq \ text {dim}（dim}（x）$和$ \ text $ x $ x $，则可以将$ x $ x $上的向量捆绑扩展到$ x $上
Given a curve in a (smooth) projective variety $C \subset X$, we show that a vector bundle $V$ on C can be extended to a ($μ$-stable) vector bundle on $X$ if $\text{rank}(V) \geq \text{dim}(X)$ and $\text{det}(V)$ extends to $X$.
