Spectral maps associated to semialgebraic branched coverings
In this article we prove that a semialgebraic map from M to N is a branched covering if and only if its associated spectral map is a branched covering. In addition, such spectral map has a neat behavior with respect to the branching locus, the ramification set and the ramification index. A crucial f...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/128236 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/128236 |
| Access Level: | acceso abierto |
| Palabra clave: | Semialgebraic set Semialgebraic function Branched covering Branching locus Ramification set Ramification index Zariski spectra Spectral map Collapsing set Matemáticas (Matemáticas) 1201.01 Geometría Algebraica |
| Sumario: | In this article we prove that a semialgebraic map from M to N is a branched covering if and only if its associated spectral map is a branched covering. In addition, such spectral map has a neat behavior with respect to the branching locus, the ramification set and the ramification index. A crucial fact to prove the preceding result is the characterization of the prime ideals whose fibers under the previous spectral map are singletons. |
|---|