The Iwasawa theoretic Gross–Zagier theorem

[摘要] We prove Mazur and Rubin's $Lambda$-adic 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.

[学科分类] 数学（综合）