Stability of syzygy bundles on abelian varieties
We prove that the kernel of the evaluation morphism of global sections namely the syzygy bundle of a sufficiently ample line bundle on an abelian variety is stable. This settles a conjecture of Ein-Lazarsfeld-Mustopa, in the case of abelian varieties.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/190629 |
| Acceso en línea: | https://hdl.handle.net/2445/190629 |
| Access Level: | acceso abierto |
| Palabra clave: | Geometria algebraica Varietats abelianes Algebraic geometry Abelian varieties |
| Sumario: | We prove that the kernel of the evaluation morphism of global sections namely the syzygy bundle of a sufficiently ample line bundle on an abelian variety is stable. This settles a conjecture of Ein-Lazarsfeld-Mustopa, in the case of abelian varieties. |
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