论文标题
K3表面上七个的阶数倍数的非惊型自动形态
Non-symplectic automorphisms of order multiple of seven on K3 surfaces
论文作者
论文摘要
在本文中，我们介绍了K3表面非惊型自动形态的分类，其命令是其固定基因座的拓扑类型，其顺序为七个倍数。在纯粹的非透明式自动态的情况下，我们为第14号命令和订单21、28和42的替代证明提供了新的结果，以便我们可以在同一论文中统一这些自动形态的结果。对于这些秩序中的每一个，我们还认为不纯粹的非拼字质自动形态，并获得其固定基因座的完整表征。我们论文的几个结果是在BrandHorst和Hofmann最近的一篇论文中独立获得的，但两篇论文中使用的方法完全不同。
In this paper we present a classification of non-symplectic automorphisms of K3 surfaces whose order is a multiple of seven by describing the topological type of their fixed locus. In the case of purely non-symplectic automorphisms, we provide new results for order 14 and alternative proofs for orders 21, 28 and 42, so that we can unify in the same paper the results on these automorphisms. For each of these orders we also consider not purely non-symplectic automorphisms and obtain a complete characterization of their fixed loci. Several results of our paper were obtained independently in a recent paper by Brandhorst and Hofmann, but the methods used in the two papers are completely different.
