Zero entropy for some birational maps of C²
In this study, we consider a special case of the family of birational maps f:C² → C² , which were dynamically classified by [13]. We identify the zero entropy subfamilies of f and explicitly give the associated invariant fibrations. In particular, we highlight all of the integrable and periodic mapp...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:204387 |
| Acceso en línea: | https://ddd.uab.cat/record/204387 https://dx.doi.org/urn:doi:10.1016/j.jmaa.2018.11.047 |
| Access Level: | acceso abierto |
| Palabra clave: | Algebraic entropy Birational map Blowing up Fibration First integral Periodicity |
| Sumario: | In this study, we consider a special case of the family of birational maps f:C² → C² , which were dynamically classified by [13]. We identify the zero entropy subfamilies of f and explicitly give the associated invariant fibrations. In particular, we highlight all of the integrable and periodic mappings. |
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