Subvarieties of Shimura varieties

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dc.creatorEdixhoven, Bas
dc.creatorYafaev, Andrei
dc.date2001-05-29
dc.date2004-02-17
dc.date.accessioned2026-07-07T04:41:54Z
dc.date.available2026-07-07T04:41:54Z
dc.descriptionA conjecture by Yves Andre and Frans Oort says that closed subvarieties of Shimura varieties that contain a Zariski dense subset of special points are subvarieties of Hodge type. We prove this in the case where the subvariety is a curve that contains infinitely many special points that lie in one Hecke orbit. Via work of Juergen Wolfart, Paula Cohen and Gisbert Wuestholz, this result has an application to algebraicity of values of hypergeometric functions.
dc.description25 pages, published version
dc.identifierhttps://arxiv.org/abs/math/0105241
dc.identifierhttp://arxiv.org/abs/math/0105241
dc.identifierAnn. of Math. (2), Vol. 157 (2003), no. 2, 621--645
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61554
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14G35; 11G18
dc.titleSubvarieties of Shimura varieties
dc.typetext

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