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| HAL: hal-00202502, version 1 |
| arXiv: 0801.0972 |
| Detailed view |  Export this paper |
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| On Tsfasman-Vladuts Invariants of Infinite Global Fields |
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| Philippe Lebacque 1 |
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| (2008-01-07) |
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| In this article we study certain asymptotic properties of global fields. We consider the set of Tsfasman-Vladuts invariants of infinite global fields and answer some natural questions arising from their work. In particular, we prove the existence of infinite global fields having finitely many strictly positive invariants at given places, and the existence of infinite number fields with certain prescribed invariants being zero. We also give precisions on the deficiency of infinite global fields and on the primes decomposition in those fields. |
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| 1: | University of Nottingham |
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University of Nottingham |
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| Subject | : | Mathematics/Number Theory |
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| Infinite global fields – Tsfasman-Vladuts invariants – class field theory – class field towers – Grunwald-Wang theorem – Cebotarev density theorem |
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| Attached file list to this document: | ||||||||||
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| hal-00202502, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00202502 | |
| oai:hal.archives-ouvertes.fr:hal-00202502 | |
| From: Philippe Lebacque | |
| Submitted on: Monday, 7 January 2008 11:58:34 | |
| Updated on: Tuesday, 8 January 2008 13:37:38 | |
