Homology of hyperelliptic mapping class groups for surfaces

Homology of hyperelliptic mapping class groups for surfaces
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曲面超椭圆映射类组的同源性

DOI:
10.1016/s0166-8641(96)00105-8
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发表时间:
1994
影响因子:
0.6
通讯作者:
Nariya Kawazumi
Nariya Kawazumi
中科院分区:
数学4区
文献类型:
--
作者:
Nariya Kawazumi

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Boedigheimer-Cohen-Peim 已经确定了属 g 的超椭圆映射类群与任意域系数的上同调。当场的特征大于 g 时,我们给出了一种替代的、更加几何和基本的方法来计算它。
The cohomology of the hyperelliptic mapping class group of genus g with coefficients in any field has been determined by Boedigheimer-Cohen-Peim. We give an alternative, more geometric and elementary way to compute it when the characteristic of the field is greater than g.