Derivações localmente nilpotentes e os teoremas de Rentschler e Jung
The main goal of this work is to furnish a proof of the well-known Rentschler s Theorem, which describes the structure of the locally nilpotent derivations on the polynomial ring in two indeterminates (over a field of characteristic zero), up to conjugation by tame automorphisms. As a central applic...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Brasil |
| Institución: | Universidade Federal da Paraíba (UFPB) |
| Repositorio: | Biblioteca Digital de Teses e Dissertações da UFPB |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufpb.br:tede/7438 |
| Acceso en línea: | https://repositorio.ufpb.br/jspui/handle/tede/7438 |
| Access Level: | acceso abierto |
| Palabra clave: | Derivações localmente nilpotentes Teorema de Rentschler Teorema de Jung Locally nilpotent derivations Rentschler s theorem Jung s theorem CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | The main goal of this work is to furnish a proof of the well-known Rentschler s Theorem, which describes the structure of the locally nilpotent derivations on the polynomial ring in two indeterminates (over a field of characteristic zero), up to conjugation by tame automorphisms. As a central application of this result, we prove Jung s Theorem, concerning the generators of the group of automorphisms in two variables. Finally, some examples are discussed, illustrating connections to other important topics. |
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