The Iwasawa-theoretic Gross-Zagier theorem

Benjamin Howard

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arXiv · 1202.6349

The Iwasawa-theoretic Gross-Zagier theorem

Benjamin Howard

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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.

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Benjamin Howard. 2012-02-28. The Iwasawa-theoretic Gross-Zagier theorem. https://arxiv.org/abs/1202.6349

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