Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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G. Faraco

On the automorphism groups of certain branched structures on surfaces

created by faraco on 09 Nov 2022



Inserted: 9 nov 2022
Last Updated: 9 nov 2022

Year: 2022

ArXiv: 2207.12861 PDF


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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