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
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 in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Zimmermann.pdf
accesso aperto
Tipologia:
Documento in Versione Editoriale
Licenza:
Creative commons
Dimensione
227.72 kB
Formato
Adobe PDF
|
227.72 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
