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• W2962910076 abstract "We study the Faltings height pairing of arithmetic special divisors and CM cycles on Shimura varieties associated to orthogonal groups. We compute the Archimedean contribution to the height pairing and derive a conjecture relating the total pairing to the central derivative of a Rankin L-function. We prove the conjecture in certain cases where the Shimura variety has dimension 0, 1, or 2. In particular, we obtain a new proof of the Gross-Zagier formula." @default.
• W2962910076 created "2019-07-30" @default.
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• W2962910076 date "2009-04-15" @default.
• W2962910076 modified "2023-10-18" @default.
• W2962910076 title "Faltings heights of CM cycles and derivatives of L-functions" @default.
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• W2962910076 doi "https://doi.org/10.1007/s00222-009-0192-8" @default.
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