On the characterization of complex Shimura varieties

Details On the characterization of complex Shimura varieties On the characterization of complex Shimura varieties

1999-09-23

arxiv.org/abs/math/9909142v1

Mathematics

Number Theory

31 pages

Scientific paper

In this paper we recall the construction and basic properties of complex Shimura varieties and show that these properties actually characterize them. This characterization immediately implies the explicit form of Kazhdan's theorem on the conjugation of Shimura varieties. As a further corollary, we show that each Shimura variety corresponding to an adjoint group has a canonical model over its reflex field. We also indicate how this characterization implies the existence of a p-adic uniformization of certain unitary Shimura varieties. In the appendix we give a complete scheme-theoretic proof of Weil's descent theorem.

Affiliated with

Also associated with

No associations

Rating

On the characterization of complex Shimura varieties 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 On the characterization of complex Shimura varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the characterization of complex Shimura varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-566110