THE p-ADIC GROSS-ZAGIER FORMULA on SHIMURA CURVES, II: NONSPLIT PRIMES

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2 Scopus citations

Abstract

The formula of the title relates p-adic heights of Heegner points and derivatives of p-adic L-functions. It was originally proved by Perrin-Riou for p-ordinary elliptic curves over the rationals, under the assumption that p splits in the relevant quadratic extension. We remove this assumption, in the more general setting of Hilbert-modular abelian varieties.

Original languageEnglish
JournalJournal of the Institute of Mathematics of Jussieu
DOIs
StateAccepted/In press - 1 Jan 2022

Keywords

  • Heegner points
  • Keywords and phrases
  • p-adic L-functions
  • p-adic heights

ASJC Scopus subject areas

  • Mathematics (all)

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