论文标题
K3表面带有二号
K3 surfaces with Picard number two
论文作者
论文摘要
众所周知，如果是无限的，则具有2号PICARD的K3表面的自动形态组是无限的循环群或无限二面体。在本文中，我们研究了一个自动形态组的发电机。我们使用与无限顺序自动形态的光谱相对应的特征向量，以确定发电机。我们还确定了一个自动形态群是无限的循环群还是无限二面体组，其中有几个示例。
It is known that an automorphism group of a K3 surface with Picard number two is either infinite cyclic group or infinite dihedral group if it is infinite. In this paper, we study the generators of an automorphism group. We use the eigenvector corresponding to the spectral radius of an automorphism of infinite order to determine the generators. We also determine whether an automorphism group is the infinite cyclic group or the infinite dihedral group with several examples.
