CM values of automorphic Green functions on orthogonal groups over totally real fields

Details CM values of automorphic Green functions on orthogonal groups over totally real fields CM values of automorphic Green functions on orthogonal groups over totally real fields

2010-04-21

arxiv.org/abs/1004.3720v2

Mathematics

Number Theory

50 pages, references updated, abstract added

Scientific paper

Generalizing work of Gross--Zagier and Schofer on singular moduli, we study the CM values of regularized theta lifts of harmonic Whittaker forms. We compute the archimedian part of the height pairing of arithmetic special divisors and CM cycles on Shimura varieties associated to certain quadratic spaces over an arbitrary totally real base field. As a special case, we obtain an explicit formula for the norms of the CM values of those meromorphic modular forms arising as regularized theta lifts of holomorphic Whittaker forms.

Affiliated with

Also associated with

No associations

Rating

CM values of automorphic Green functions on orthogonal groups over totally real fields 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 CM values of automorphic Green functions on orthogonal groups over totally real fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and CM values of automorphic Green functions on orthogonal groups over totally real fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-327301