p-adic uniformization of unitary Shimura varieties II
| dc.creator | Varshavsky, Yakov | |
| dc.date | 1999-09-23 | |
| dc.date.accessioned | 2026-07-07T05:30:53Z | |
| dc.date.available | 2026-07-07T05:30:53Z | |
| dc.description | In this paper we show that certain Shimura varieties, uniformized by the product of complex unit balls, can be p-adically uniformized by the product (of equivariant coverings) of Drinfeld upper half-spaces. We also extend a p-adic uniformization to automorphic vector bundles. It is a continuation of our previous work [V], and contains all cases (up to a central modification) of a uniformization by known p-adic symmetric spaces. The idea of the proof is to show that an arithmetic quotient of the product of Drinfeld upper half-spaces cannot be anything else than a certain unitary Shimura variety. Moreover, we show that difficult theorems of Yau and Kottwitz appearing in [V] may be avoided. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/9909144 | |
| dc.identifier | http://arxiv.org/abs/math/9909144 | |
| dc.identifier | J. Differential Geom. 49 (1998) 75-113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79147 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G35; 11G18 | |
| dc.title | p-adic uniformization of unitary Shimura varieties II | |
| dc.type | text |