Accepted Paper
Inserted: 9 nov 2022
Last Updated: 22 jan 2024
Journal: Milan Journal of Mathematics
Year: 2024
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.