Periods of holomorphic maps on compact Riemann surfaces and product of spheres
In this article, we consider non-constant holomorphic maps on Riemann surfaces and product of Riemann spheres, and we give conditions on the maps in order that they have arbitrary large prime numbers as periods. We use Lefschetz fixed point theory and in particular we compute the Lefschetz numbers o...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:228118 |
| Acceso en línea: | https://ddd.uab.cat/record/228118 https://dx.doi.org/urn:doi:10.1080/10236198.2019.1699915 |
| Access Level: | acceso abierto |
| Palabra clave: | Lefschetz numbers Holomorphic maps Periodic point Product of spheres Torus |
| Sumario: | In this article, we consider non-constant holomorphic maps on Riemann surfaces and product of Riemann spheres, and we give conditions on the maps in order that they have arbitrary large prime numbers as periods. We use Lefschetz fixed point theory and in particular we compute the Lefschetz numbers of period m for large m's. |
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