A new proof of the p-adic Gross-Zagier formula is established via a wall-crossing strategy centered on the BDP formula and Beilinson-Flach elements, covering ordinary and non-ordinary cases for weight k >= 2 and families.
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A proof of $p$-adic Gross--Zagier theorem via BDP formula
A new proof of the p-adic Gross-Zagier formula is established via a wall-crossing strategy centered on the BDP formula and Beilinson-Flach elements, covering ordinary and non-ordinary cases for weight k >= 2 and families.