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| HAL: hal-00649471, version 2 |
| arXiv: 1112.3195 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2011-12-08) | v2 (2011-12-14) |
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| Propagation de la 2-birationalité |
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Claire Bourbon 1Jean-François Jaulent 1 |
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| (2011-12-08) |
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| Let L/K be a 2-birational CM-extension of a totally real 2-rational number field. We characterize in terms of tame ramification totally real 2-extensions K′/K such that the compositum L′= LK′ is still 2-birational. In case the 2-extensions K′/K is linearly disjoint from the cyclotomic Z2-extension Kc/K, we prove that K′/K is at most quadratic. In the other hand we construct infinite towers of such 2-extensions. |
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| 1: | Institut de Mathématiques de Bordeaux (IMB) |
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CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| Subject | : | Mathematics/Number Theory |
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| class field theory – 2-rational fields – 2-birational fields |
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| hal-00649471, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00649471 | |
| oai:hal.archives-ouvertes.fr:hal-00649471 | |
| From: Jean-François Jaulent | |
| Submitted on: Wednesday, 14 December 2011 08:05:37 | |
| Updated on: Wednesday, 14 December 2011 14:09:10 | |
