This article studies a distinguished collection of so-called generalized Heegner cycles in the product of a Kuga–Sato variety with a power of a CM elliptic curve. Its main result is a -adic analogue of the Gross–Zagier formula which relates the images of generalized Heegner cycles under the -adic Abel–Jacobi map to the special values of certain -adic Rankin -series at critical points that lie outside their range of classical interpolation.
"Generalized Heegner cycles and -adic Rankin -series." Duke Math. J. 162 (6) 1033 - 1148, 15 April 2013. https://doi.org/10.1215/00127094-2142056