标题： 同调镜像对称性对于射影K3曲面 显示英文标题

标题： Homological mirror symmetry for projective K3 surfaces

摘要： 我们证明了Kontsevich关于K3曲面的同调镜像对称猜想，形式如下：射影K3曲面的Fukaya范畴与镜像上的凝聚层导出范畴等价，该镜像是一个Picard秩为$19$的K3曲面，定义在域$\mathbb{C}((q))$上的形式Laurent级数域上。 这建立在Seidel之前的工作基础上，他证明了四次曲面的情况，以及Sheridan、Lekili--Ueda和Ganatra--Pardon--Shende的工作。 显示英文摘要

摘要： We prove the homological mirror symmetry conjecture of Kontsevich for K3 surfaces in the following form: The Fukaya category of a projective K3 surface is equivalent to the derived category of coherent sheaves on the mirror, which is a K3 surface of Picard rank $19$ over the field $\mathbb{C}((q))$ of formal Laurent series. This builds on prior work of Seidel, who proved the theorem in the case of the quartic surface, Sheridan, Lekili--Ueda, and Ganatra--Pardon--Shende.