论文标题
sarkisov与中心空间曲线在光滑的立方表面上链接
Sarkisov Links with centres space curves on smooth cubic surfaces
论文作者
论文摘要
我们通过炸毁位于光滑的立方表面上的光滑空间曲线而构建和研究Sarkisov链接。我们将注意力限制在爆炸并不弱的情况下。加上Arxiv：1106.3716的结果，涵盖了弱的Fano情况，我们提供了所有此类曲线的分类。这是通过计算所有满足其多子曲线必需标准然后逐步构造Sarkisov链接的所有必要标准的所有曲线来实现的。
We construct and study Sarkisov links obtained by blowing up smooth space curves lying on smooth cubic surfaces. We restrict our attention to the case where the blowup is not weak Fano. Together with the results of arXiv:1106.3716 which cover the weak Fano case, we provide a classification of all such curves. This is achieved by computing all curves which satisfy certain necessary criteria on their multisecant curves and then constructing the Sarkisov link step by step.
