论曲面上某些分支结构的自形群

IF 1.2 3区数学 Q1 MATHEMATICS

Milan Journal of Mathematics Pub Date : 2024-02-14 DOI:10.1007/s00032-024-00393-w

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引用次数: 0

摘要

摘要我们考虑曲面上有极点的平移曲面。我们将证明任何有限群都可以作为某些带极点平移面的自变群出现。作为直接结果，我们得到了达到其属所允许的最大自形数的结构的存在性，最后我们将同样的结果推广到支化投影结构。

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On the Automorphism Groups of Certain Branched Structures on Surfaces

Abstract

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.

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来源期刊

Milan Journal of Mathematics 数学-数学

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Milan Journal of Mathematics (MJM) publishes high quality articles from all areas of Mathematics and the Mathematical Sciences. The authors are invited to submit "articles with background", presenting a problem of current research with its history and its developments, the current state and possible future directions. The presentation should render the article of interest to a wider audience than just specialists. Many of the articles will be "invited contributions" from speakers in the "Seminario Matematico e Fisico di Milano". However, also other authors are welcome to submit articles which are in line with the "Aims and Scope" of the journal.