Let C be a curve of genus $g=11$ or $g\ge 13$ on a K3 surface whose Picard group is generated by the curve class $\left[C\right]$. We use wall-crossing with respect to Bridgeland stability conditions to generalise Mukai’s program to this situation: we show how to reconstruct the K3 surface containing the curve C as a Fourier–Mukai transform of a Brill–Noether locus of vector bundles on C.

中文翻译：

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Mukai的程序（通过曲线重建K3表面）

令C为属的曲线$G=11$ 要么 $G\ge 13$ 在其Picard组由曲线类生成的K3曲面上 $\left[C\right]$。我们使用壁交叉相对于Bridgeland稳定条件概括向井的程序这样的情况：我们显示如何重构包含曲线K3表面Ç作为傅立叶向井变换向量束的布瑞尔-诺特轨迹的Ç。