Morita-Mumford classes on finite cyclic subgroups of the mapping class group of closed surfaces
Morita-Mumford classes on finite cyclic subgroups of the mapping class group of closed surfaces
复制标题
闭曲面映射类群的有限循环子群上的 Morita-Mumford 类
DOI：
10.14492/hokmj/1351001239
复制
发表时间：
1998
期刊：
影响因子：
--
通讯作者：
T. Uemura
中科院分区：
文献类型：
--
作者：
T. Uemura
设G是m阶映射类群的有限循环子群，证明了G的Morita-Mumford类具有一定的周期性，其周期由Euler函数φ（m）给出。利用这个周期性定理，计算了Klein四次曲线自同构群的任意有限循环子群上的Morita-Mumford类。
Let G be a finite cyclic subgroup of the mapping class group of order m We prove the Morita-Mumford classes restricted to G admit a certain kind of periodicity whose period is given by the Euler function \phi(m) Using this periodicity theorem, we compute the Morita-Mumford classes on arbitrary finite cyclic subgroups of the automorphism group of Klein’s quartic curve.