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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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2020 |
| Country: | España |
| Institution: | Universidad de León |
| Repository: | BULERIA. Repositorio Institucional de la Universidad de León |
| OAI Identifier: | oai:buleria.unileon.es:10612/26604 |
| Online Access: | https://hdl.handle.net/10612/26604 |
| Access Level: | Open access |
| Keyword: | Matemáticas Principal bundles Stable curves Universal moduli 12 Matemáticas |
| Summary: | [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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