The Iwasawa-theoretic Gross-Zagier theorem

Details The Iwasawa-theoretic Gross-Zagier theorem The Iwasawa-theoretic Gross-Zagier theorem

2012-02-28

arxiv.org/abs/1202.6349v1

Compos. Math. 141, No. 4 (2005), 811-846

Mathematics

Number Theory

Scientific paper

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.

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