p-adic uniformization of unitary Shimura varieties

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dc.creatorVarshavsky, Yakov
dc.date1999-09-23
dc.date.accessioned2026-07-07T05:30:53Z
dc.date.available2026-07-07T05:30:53Z
dc.descriptionIn this paper we generalize Cherednik's method and prove that certain Shimura varieties corresponding to groups of unitary similitudes and automorphic vector bundles over them have p-adic uniformization. This is proved for Shimura varieties, uniformized by the complex unit ball, when the central simple algebra over a CM-field defining the group of unitary similitudes has Brauer invariant 1/d at p. In this case, Shimura varieties can be uniformized by Drinfeld's covers of p-adic upper half-spaces.
dc.description67 pages
dc.identifierhttps://arxiv.org/abs/math/9909143
dc.identifierhttp://arxiv.org/abs/math/9909143
dc.identifierInst. Hautes Etudes Sci. Publ. Math. No. 87 (1998) 57-119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79146
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14G35; 11G18
dc.titlep-adic uniformization of unitary Shimura varieties
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