论文标题
二维的K3表面的cotangent束
The cotangent bundle of K3 surfaces of degree two
论文作者
论文摘要
从许多角度研究了K3表面，但是尚不清楚cotangent束的积极性。在本文中，我们探讨了非常笼统的二极化K3表面$ s $第二级的投影式捆绑包的富裕几何形状。特别是，我们描述了表面$ d_s \ subset \ mathbb {p}（ω_s）$的几何形状，该\ subl of bitangents的角色与$ \ mathbb {p}^3 $中的Quartics的表面相似。
K3 surfaces have been studied from many points of view, but the positivity of the cotangent bundle is not well understood. In this paper we explore the surprisingly rich geometry of the projectivised cotangent bundle of a very general polarised K3 surface $S$ of degree two. In particular, we describe the geometry of a surface $D_S \subset \mathbb{P}(Ω_S)$ that plays a similar role to the surface of bitangents for a quartic in $\mathbb{P}^3$.
