论文标题
Lazarsfeld-Mukai捆绑包在K3表面上与铅笔计算相关的Clifford指数
Lazarsfeld-Mukai bundles on K3 surfaces associated to a pencil computing Clifford index
论文作者
论文摘要
让$ x $成为复杂数字上的光滑投射K3表面，而$ c $是$ x $的丰富曲线。在本文中，我们将研究Lazarsfeld-Mukai Bundle $ e_ {c，a} $相关的Lazarsfeld-Mukai Bundle $ a $ a $ a $ a $ ion $ c $，以便$ | a | $是$ c $上的铅笔，并计算了$ c $的clifford index。我们为$ e_ {c，a} $提供了必要和充分的条件。
Let $X$ be a smooth projective K3 surface over complex numbers and $C$ be an ample curve on $X$. In this paper we will study the semistability of the Lazarsfeld-Mukai bundle $E_{C, A}$ associated to a line bundle $A$ ion $C$ such that $|A|$ is a pencil on $C$ and computes the Clifford index of $C$. We give a necessary and sufficient condition for $E_{C, A}$ being semistable.
