Subvarieties of Shimura varieties

Details Subvarieties of Shimura varieties Subvarieties of Shimura varieties

2001-05-29

arxiv.org/abs/math/0105241v2

Ann. of Math. (2), Vol. 157 (2003), no. 2, 621--645

Mathematics

Algebraic Geometry

25 pages, published version

Scientific paper

A 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.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-196742