Mazur's principle for U(2,1) Shimura varieties

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dc.creatorHelm, David
dc.date2006-06-28
dc.date.accessioned2026-07-07T07:17:49Z
dc.date.available2026-07-07T07:17:49Z
dc.descriptionMazur's principle gives a criterion under which an irreducible mod l Galois representation arising from a classical modular form of level Np (with p prime to N) also arises from a classical modular form of level N. We consider the analogous question for Galois representations arising from certain unitary Shimura varieties. In particular, we prove an analoge of Mazur's principle for U(2,1) Shimura varities. We also give a conjectural criterion for a Galois representation arising in the cohomology of a unitary Shimura variety whose level subgroup is parahoric at p to also arise in the cohomology of a Shimura variety with "less level structure at p".
dc.description20 pages; fullpage
dc.identifierhttps://arxiv.org/abs/math/0606731
dc.identifierhttp://arxiv.org/abs/math/0606731
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114081
dc.subjectNumber Theory
dc.subject11F80; 11F33; 11G18
dc.titleMazur's principle for U(2,1) Shimura varieties
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