二阶K3曲面的余切束

Pub Date : 2022-07-19 DOI:10.46298/epiga.2023.9960

F. Anella, A. Horing

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引用次数: 0

摘要

K3表面已经从许多角度进行了研究，但是余切束的正性还没有得到很好的理解。在本文中，我们探索了一个非常一般的二阶极化K3曲面$S$的投影余切束的令人惊讶的丰富几何。特别地，我们描述了曲面$D_S \子集$ mathbb{P}(\Omega_S)$的几何形状，它的作用类似于$\mathbb{P}^3$中四次元的bitangents曲面。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The cotangent bundle of K3 surfaces of degree two

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 $D_S \subset \mathbb{P}(\Omega_S)$ that plays a similar role to the surface of bitangents for a quartic in $\mathbb{P}^3$.

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