On the moduli spaces of singular principal bundles on stable curves
[EN] We prove the existence of a linearization for singular principal �-bundles not depending on the base curve. This allow us to construct the relative compact moduli space of �-(semi)stable singular principal �-bundles over families of reduced projective and connected nodal curves, and to reduce t...
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de León |
| Repositorio: | BULERIA. Repositorio Institucional de la Universidad de León |
| OAI Identifier: | oai:buleria.unileon.es:10612/26604 |
| Acceso en línea: | https://hdl.handle.net/10612/26604 |
| Access Level: | acceso abierto |
| Palabra clave: | Matemáticas Principal bundles Stable curves Universal moduli 12 Matemáticas |
| Sumario: | [EN] We prove the existence of a linearization for singular principal �-bundles not depending on the base curve. This allow us to construct the relative compact moduli space of �-(semi)stable singular principal �-bundles over families of reduced projective and connected nodal curves, and to reduce the construction of the universal moduli space over ℳ� to the construction of the universal moduli space of swamps. |
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