CM values of higher automorphic Green functions for orthogonal groups
نویسندگان
چکیده
منابع مشابه
CM values of automorphic Green functions on orthogonal groups over totally real fields
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 quadratic spaces over an arbitrary totally real base field. As a special case, we obtain an explicit formula for the n...
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Suppose that G and H are connected reductive groups over a number field F and that an L-homomorphism ρ : LG −→ LH is given. The Langlands functoriality conjecture predicts the existence of a map from the automorphic representations of G(A) to those of H(A). If the adelic points of the algebraic groups G, H are replaced by their metaplectic covers, one may hope to specify an analogue of the Lgro...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2021
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-021-01038-0