English

The Iwasawa-theoretic Gross-Zagier theorem

Number Theory 2012-02-29 v1

Abstract

We prove Mazur and Rubin's Iwasawa-theoretic Gross-Zagier conjecture (under some restrictive hypotheses), which relates Heegner points in towers of number fields to the 2-variable p-adic L-function. The result generalizes Perrin-Riou's p-adic Gross-Zagier theorem.

Keywords

Cite

@article{arxiv.1202.6349,
  title  = {The Iwasawa-theoretic Gross-Zagier theorem},
  author = {Benjamin Howard},
  journal= {arXiv preprint arXiv:1202.6349},
  year   = {2012}
}
R2 v1 2026-06-21T20:26:31.368Z