Special points on the product of two modular curves

Details Special points on the product of two modular curves Special points on the product of two modular curves

1996-10-11

arxiv.org/abs/alg-geom/9610011v1

Mathematics

Algebraic Geometry

hardcopy available at request to edix@univ-rennes1.fr LaTeX

Scientific paper

We prove, assuming the Generalized Riemann Hypothesis for imaginary quadratic fields, that irreducible curves in the product of two modular curves that contain infinitely many complex multiplication points are either a Hecke correspondence or a fibre for one of the two projections. This gives evidence for a conjecture of Oort that says that irreducible components of the Zariski closure of a set of CM points in a Shimura variety are sub Shimura varieties.

Affiliated with

Also associated with

No associations

Rating

Special points on the product of two modular curves 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 Special points on the product of two modular curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Special points on the product of two modular curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-570126