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High dimensional Gross--Zagier formula: a survey

Published 27 Feb 2024 in math.NT, math.AG, and math.RT | (2402.17656v1)

Abstract: We survey recent developments on generalizing the Gross--Zagier formula to high dimensional Shimura varieties, with an emphasis on the Arithmetic Gan--Gross--Prasad conjecture and the relative trace formula approach.

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