@techreport{23815f46366b4b0ab362f07d11b2c2e6,

title = "The p-adic Gross--Zagier formula on Shimura curves, II: non-split primes",

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. ",

keywords = "math.NT, 11G40, 11F33, 11G50, 11F41",

author = "Daniel Disegni",

note = "30 pages. Appendix B contains a list of errata to part I. v2: minor corrections or clarifications; main results unchanged",

year = "2019",

language = "???core.languages.en_GB???",

series = "Arxiv preprint",

type = "WorkingPaper",

}