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| HAL : hal-00703402, version 1 |
| arXiv : 1206.1008 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (05-06-2012) | v2 (22-11-2012) | v3 (27-11-2012) |
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| Automorphisms of Drinfeld half-spaces over a finite field |
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| Bertrand RÉMY 1Amaury Thuillier 1 |
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| (01/06/2012) |
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| We show that the automorphism group of Drinfeld's half-space over a finite field is the projective linear group of the underlying vector space. The proof of this result uses analytic geometry in the sense of Berkovich over the finite field equipped with the trivial valuation. We also take into account extensions of the base field. |
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| 1 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| 2 : | Institut für Mathematik |
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Goethe-Universität Frankfurt |
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| Domaine | : | Mathématiques/Géométrie algébrique |
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| Non-archimedean analytic geometry – Berkovich spaces – Drinfeld upper half-space – birational transformations |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00703402, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00703402 | |
| oai:hal.archives-ouvertes.fr:hal-00703402 | |
| Contributeur : Bertrand Remy | |
| Soumis le : Vendredi 1 Juin 2012, 17:09:45 | |
| Dernière modification le : Mardi 5 Juin 2012, 20:12:35 | |
