Some Bounds for ramification of $p^n$-torsion semi-stable representations

dc.creatorCaruso, Xavier
dc.creatorLiu, Tong
dc.date2008-05-27
dc.date2008-07-09
dc.date.accessioned2026-07-07T09:48:57Z
dc.date.available2026-07-07T09:48:57Z
dc.descriptionLet p be an odd prime, K a finite extension of Q_p, G=Gal(\bar K/K) the Galois group and e=e(K/Q_p) the ramification index. Suppose T is a p^n torsion representation such that T is isomorphic to a quotient of two G-stable Z_p-lattices in a semi-stable representation with Hodge-Tate weights in {0,...,r}. We prove that there exists a constant μexplicitly depending on n, e and r such that the upper numbering ramification group G^{(μ)} acts on T trivially.
dc.identifierhttps://arxiv.org/abs/0805.4227
dc.identifierhttp://arxiv.org/abs/0805.4227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164409
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14F30
dc.titleSome Bounds for ramification of $p^n$-torsion semi-stable representations
dc.typetext

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