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The Iwasawa theoretic Gross–Zagier theorem

Published online by Cambridge University Press:  21 June 2005

Benjamin Howard
Benjamin Howard
Affiliation:
Department of Mathematics, Harvard University, Cambridge, MA 02138, USAhoward@math.harvard.edu Department of Mathematics, University of Chicago, Chicago, IL 60637, USA
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Abstract

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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.

Keywords

Iwasawa theoryHeegner points11G05
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 4 , July 2005 , pp. 811 - 846
Copyright
Foundation Compositio Mathematica 2005