The stability of exceptional bundles on hypersurfaces
A very long-standing problem in Algebraic Geometry is to determine the stability of exceptional vector bundles on smooth projective varieties. In this paper we address this problem and we prove that any exceptional vector bundle on a smooth complete intersection $ 3$-fold $ Y\subset\mathbb{P}^n$ of...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/96553 |
| Acceso en línea: | https://hdl.handle.net/2445/96553 |
| Access Level: | acceso abierto |
| Palabra clave: | Geometria algebraica Superfícies algebraiques Algebraic geometry Algebraic surfaces |
| Sumario: | A very long-standing problem in Algebraic Geometry is to determine the stability of exceptional vector bundles on smooth projective varieties. In this paper we address this problem and we prove that any exceptional vector bundle on a smooth complete intersection $ 3$-fold $ Y\subset\mathbb{P}^n$ of type $ (d_1,\ldots,d_{n-3})$ with $ d_1+\cdots+ d_{n-3}\leq n$ and $ n\geq 4$ is stable. |
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