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| HAL: hal-00113955, version 1 |
| arXiv: math.AG/0606657 |
| Detailed view |  Export this paper |
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| Bulletin de la société mathématique de France 134, 2 (2006) 253-260 |
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| On coverings of simple abelian varieties |
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| Olivier Debarre 1 |
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| (2006) |
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| We show that the vector bundle associated to a smooth projective connected finite covering of a simple complex abelian variety is ample (under a simple necessary condition). This result is obtained by showing that this bundle is M-regular in the sense of Pareschi-Popa, and that any M-regular sheaf is ample. |
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| 1: | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I |
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| Subject | : | Mathematics/Algebraic Geometry |
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| Abelian variety – vector bundle – ample sheaf – M-regular sheaf – continuously generated sheaf – Barth-Lefschetz Theorem – Mukai transform |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/math.AG/0606657 |
| hal-00113955, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00113955 | |
| oai:hal.archives-ouvertes.fr:hal-00113955 | |
| From: Grégory Thureau | |
| Submitted on: Wednesday, 15 November 2006 09:46:04 | |
| Updated on: Wednesday, 15 November 2006 16:19:08 | |
