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 language | English |
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Journal | Journal of the Institute of Mathematics of Jussieu |
DOIs | |
State | Accepted/In press - 1 Jan 2022 |
Keywords
- Heegner points
- Keywords and phrases
- p-adic L-functions
- p-adic heights
ASJC Scopus subject areas
- Mathematics (all)