论文标题
在表面上某些分支结构的自动形态组上
On the automorphism groups of certain branched structures on surfaces
论文作者
论文摘要
我们考虑在表面上带有两极的翻译表面。我们将证明任何有限的组都作为带有两极的某些翻译表面的自动形态群。作为直接结果，我们获得了实现其属允许的最大可能数量的结构的存在，并最终将相同的结果扩展到分支的投射结构。
We consider translation surfaces with poles on surfaces. We shall prove that any finite group appears as the automorphism group of some translation surface with poles. As a direct consequence we obtain the existence of structures achieving the maximal possible number of automorphisms allowed by their genus and we finally extend the same results to branched projective structures.
