Motivated by the analogous problem for hyperbolic 3-manifolds, by topological methods using the language of orbifolds we give a short and efficient classification of the finite diffeomorphism groups of closed orientable surfaces of genus g > 1 which contain a hyperelliptic involution; in particular, for each g > 1 we determine the maximal possible order of such a group.
A note on finite group-actions on surfaces containing a hyperelliptic involution / Zimmermann, Bruno. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - STAMPA. - 50/2018:(2018), pp. 125-131. [10.13137/2464-8728/22436]
A note on finite group-actions on surfaces containing a hyperelliptic involution
Bruno Zimmermann
2018-01-01
Abstract
Motivated by the analogous problem for hyperbolic 3-manifolds, by topological methods using the language of orbifolds we give a short and efficient classification of the finite diffeomorphism groups of closed orientable surfaces of genus g > 1 which contain a hyperelliptic involution; in particular, for each g > 1 we determine the maximal possible order of such a group.| File | Dimensione | Formato | |
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