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http://hdl.handle.net/10077/22436| Title: | A note on finite group-actions on surfaces containing a hyperelliptic involution | Authors: | Zimmermann, Bruno P. | Keywords: | hyperelliptic Riemann surface; hyperelliptic involution; finite diffeomorphism group | Issue Date: | 2018 | Publisher: | EUT Edizioni Università di Trieste | Source: | Bruno P. Zimmermann, "A note on finite group-actions on surfaces containing a hyperelliptic involution", in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 50 (2018)", Trieste, EUT Edizioni Università di Trieste, 2018, pp. 125-131 | Abstract: | 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 >= 2 which contain a hyperelliptic involution; in particular, for each g >= 2 we determine the maximal possible order of such a group. |
Type: | Article | URI: | http://hdl.handle.net/10077/22436 | ISSN: | 0049-4704 | eISSN: | 2464-8728 | DOI: | 10.13137/2464-8728/22436 | Rights: | Attribution-NonCommercial-NoDerivatives 4.0 Internazionale |
| Appears in Collections: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.50 (2018) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Zimmermann.pdf | 227.72 kB | Adobe PDF |  View/Open |
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