On Neron-Raynaud class groups of tori and the Capitulation Problem

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dc.creatorGonzalez-Aviles, Cristian D.
dc.date2009-03-18
dc.date.accessioned2026-07-07T12:53:39Z
dc.date.available2026-07-07T12:53:39Z
dc.descriptionWe discuss the Capitulation Problem for Neron-Raynaud class groups of tori over global fields F and obtain generalizations of the main results of [10]. We also show that short exact sequences of F-tori induce long exact sequences involving the corresponding Neron-Raynaud class groups. For example, we show that the Neron-Raynaud class group of any F-torus which is split by a metacyclic extension of F can be "resolved" in terms of classical ideal class groups of global fields.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/0903.3221
dc.identifierhttp://arxiv.org/abs/0903.3221
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223695
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject20G30; 11R99
dc.titleOn Neron-Raynaud class groups of tori and the Capitulation Problem
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