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| HAL: hal-00703402, version 1 |
| arXiv: 1206.1008 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2012-06-05) | v2 (2012-11-22) | v3 (2012-11-27) |
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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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| (2012-06-01) |
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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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| Subject | : | Mathematics/Algebraic Geometry |
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| Non-archimedean analytic geometry – Berkovich spaces – Drinfeld upper half-space – birational transformations |
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| Attached file list to this document: | ||||||||||
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| hal-00703402, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00703402 | |
| oai:hal.archives-ouvertes.fr:hal-00703402 | |
| From: Bertrand Remy | |
| Submitted on: Friday, 1 June 2012 17:09:45 | |
| Updated on: Tuesday, 5 June 2012 20:12:35 | |
