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| HAL: hal-00662352, version 3 |
| arXiv: 1201.4967 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2012-01-23) | v2 (2012-01-24) | v3 (2012-05-03) |
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| Number of points on abelian and Jacobian varieties over finite fields |
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| Yves Aubry 1, 2Safia Haloui 1 |
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| (2012-05-02) |
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| We give upper and lower bounds on the number of points on abelian varieties over finite fields, and lower bounds specific to Jacobian varieties. We also determine exact formulas for the maximum and minimum number of points on Jacobian surfaces. |
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| 1: | Institut de mathématiques de Luminy (IML) |
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CNRS : UMR6206 – Université de la Méditerranée - Aix-Marseille II |
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| 2: | Institut de Mathématiques de Toulon et du Var (IMATH) |
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Université Sud Toulon Var : EA2134 |
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| Subject | : | Mathematics/Algebraic Geometry |
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| Abelian varieties over finite fields – Jacobians – zeta functions |
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| Attached file list to this document: | ||||||||||
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| hal-00662352, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00662352 | |
| oai:hal.archives-ouvertes.fr:hal-00662352 | |
| From: Gilles Lachaud | |
| Submitted on: Wednesday, 2 May 2012 14:33:55 | |
| Updated on: Thursday, 3 May 2012 08:52:45 | |
