极值椭圆K3曲面的分类及开K3曲面的基本群
Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces
摘要：
给出了极值椭圆K3曲面的完整列表。总共有325个。前112个与Miranda-Escherson的半稳定列表相吻合。这些数据包括超越晶格，它确定唯一的K3表面的结果Shioda和Inose，奇异纤维类型和Mordell Weil群。作为应用，我们给出了K3曲面上光滑有理曲线的ADE-构形的补的拓扑基本群为平凡的一个充分条件.
英文摘要：
We present a complete list of extremal elliptic K3 surfaces. There are altogether 325 of them. The first 112 coincides with Miranda-Persson's list for semi-stable ones. The data include the transcendental lattice which determines uniquely the K3 surface by a result of Shioda and Inose, the singular fibre type and the Mordell Weil group. As an application, we give a sufficient condition for the topological fundamental group of complement to an ADE-configuration of smooth rational curves on a K3 surface to be trivial.
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