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P-adic heights and p-adic Hodge theory

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arxiv 1412.7305 v1 pith:GFW7QDSG submitted 2014-12-23 math.NT

Denis Benois This is my paper · ORCID
classification math.NT
keywords p-adictheoryaffinoidalgebracoefficientscomplexesconstructformalism
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abstract

Using the theory of $(\phi,\Gamma)$-modules and the formalism of Selmer complexes we construct the p-adic height for p-adic representations with coefficients in an affinoid algebra over $Q_p$.

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  1. A proof of $p$-adic Gross--Zagier theorem via BDP formula

    math.NT 2026-04 unverdicted novelty 6.0 of 10

    The paper proves a p-adic Gross–Zagier-type formula via Beilinson–Flach elements and a wall-crossing strategy, but the stated constant A/B conflicts with the paper's own Corollary 6.13.

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