Abelian etale coverings of modular curves over local fields

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dc.creatorYoshida, Teruyoshi
dc.date2004-05-22
dc.date.accessioned2026-07-07T05:08:28Z
dc.date.available2026-07-07T05:08:28Z
dc.descriptionWe relate a part of the abelian etale fundamental group of curves over local fields to the component group of the Neron model of the jacobian. We apply the result to the modular curve X_0(p)/Q_p to show that the unramified abelian covering X_1(p) over X_0(p) (Shimura covering) uses up all the possible ramification over the special fiber of X_0(p).
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0405426
dc.identifierhttp://arxiv.org/abs/math/0405426
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71279
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subjectPrimary: 11G45, Secondary: 11G18, 11G20
dc.titleAbelian etale coverings of modular curves over local fields
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