关于与特定对合交换的曲面上不可约周期微分同胚的分类
On a classification of irreducible periodic diffeomorphisms on surfaces which commute with certain involution
AI总结：
本文对曲面上与特定对合（其商空间同胚于$T^{2}$）交换的不可约周期自同构进行了共轭分类，推广了Ishizaka的超椭圆周期自同构分类结果。
摘要：
Ishizaka对曲面的超椭圆周期自同构进行了共轭分类。这里，曲面$Σ_{g}$上的对合$I$是超椭圆的当且仅当$Σ_{g}/\langle I \rangle$同胚于$S^2$。本文对曲面$Σ_{g}$上与满足$Σ_{g}/\langle ι\rangle$同胚于$T^{2}$的对合$ι$交换的不可约周期自同构进行了共轭分类。
英文摘要：
Ishizaka classified up to conjugacy hyperelliptic periodic automorphisms of a surface. Here, an involution $I$ on a surface $Σ_{g}$ is hyperelliptic if and only if $Σ_{g}/\langle I \rangle$ is homeomorphic to $S^2$. In this article, we give a classification up to conjugacy for irreducible periodic automorphisms of a surface $Σ_{g}$ which commute with involutions $ι$ such that $Σ_{g}/\langle ι\rangle$ is homeomorphic to $T^{2}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
