Let X be a K3 surface and let H be a very ample line bundle on X of sectional genus g ≤ 9. In this paper, we characterize the destabilizing sheaf of the Lazarsfeld-Mukai bundle E_C,Z of rank 2 associated with a smooth curve C ∈ |H| and a base point free divisor Z on C with h⁰(O_C(Z)) = 2, in the case where it is not H-slope stable.

中文翻译：

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低属极化K3极化表面上等级2的Lazarsfeld-Mukai束

让X是ķ 3表面并让ħ是对一个非常充裕线束X的剖属克≤9.在本文中，我们表征拉扎斯菲尔德-向井束的不稳定札ë _Ç，ž秩2的与相关联的流畅的曲线ç ∈| H | 在非H斜率稳定的情况下，在C上具有h ⁰（O _C（Z））= 2的基点自由因数Z。