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| HAL: hal-00294978, version 1 |
| arXiv: 0805.4227 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2008-07-10) | v2 (2009-04-19) |
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| Some bounds for ramification of p^n-torsion semi-stable representations |
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| Xavier Caruso 1Tong Liu 2 |
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| (2008-07-10) |
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| Let p be an odd prime, K a finite extension of Q_p , G_K = Gal(Kbar/K) its absolute Galois group and e = e(K/Q_p) its absolute ramification index. Suppose that T is a p^n-torsion representation of G_K that is isomorphic to a quotient of G_K -stable Z_p -lattices in a semi-stable representation with Hodge-Tate weights in {0, ..., r}. We prove that there exists a constant mu depending only on n, e and r such that the upper numbering ramification group G_K^(mu) acts on T trivially. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 2: | David Rittenhouse Laboratory (DRL) |
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University of Pennsilvania |
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| Subject | : | Mathematics/Number Theory |
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| p-adic representations – ramification |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/0805.4227 |
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| hal-00294978, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00294978 | |
| oai:hal.archives-ouvertes.fr:hal-00294978 | |
| From: Xavier Caruso | |
| Submitted on: Thursday, 10 July 2008 20:28:06 | |
| Updated on: Thursday, 10 July 2008 21:12:17 | |
