p-adic uniformization of unitary Shimura varieties II

Details p-adic uniformization of unitary Shimura varieties II p-adic uniformization of unitary Shimura varieties II

1999-09-23

arxiv.org/abs/math/9909144v1

J. Differential Geom. 49 (1998) 75-113

Mathematics

Number Theory

30 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

p-adic uniformization of unitary Shimura varieties II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with p-adic uniformization of unitary Shimura varieties II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and p-adic uniformization of unitary Shimura varieties II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-566115