The Iwasawa-theoretic Gross-Zagier theorem
classification
🧮 math.NT
keywords
gross-zagieriwasawa-theoreticp-adictheoremconjecturefieldsgeneralizesheegner
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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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