论文标题
普通的shioda-命令3的结构
Generalized Shioda--Inose structures of order 3
论文作者
论文摘要
shioda-inose结构是一种几何结构，它与阿贝尔表面相关联，其先验晶格是等距的。莫里森（Morrison）通过考虑K3表面上的特殊符号差异来描述这种几何结构。在莫里森（Morrison）之后，几位作者提供了明确的例子。本文的目的是将莫里森的结果和一些已知示例概括为涉及不参与的类似几何结构，而是命令3个自动形态。因此，我们定义了第3阶的广义shioda-构造结构，我们确定了出现在这些结构中的K3表面和Abelian表面，并提供了明确的例子。
A Shioda--Inose structure is a geometric construction which associates to an Abelian surface a projective K3 surface in such a way that their transcendental lattices are isometric. This geometric construction was described by Morrison by considering special symplectic involutions on the K3 surfaces. After Morrison several authors provided explicit examples. The aim of this paper is to generalize Morrison's results and some of the known examples to an analogous geometric construction involving not involutions, but order 3 automorphisms. Therefore we define the generalized Shioda--Inose structures of order 3, we identify the K3 surfaces and the Abelian surfaces which appear in these structures and we provide explicit examples.
