Quaternionic Darmon points on p-adic tori and abelian varieties

M. Longo; S. Vigni

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Quaternionic Darmon points on p-adic tori and abelian varieties

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arxiv 1106.2668 v1 pith:H6XOCTY6 submitted 2011-06-14 math.NT math.AG

M. Longo , S. Vigni This is my paper · ORCID

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keywords abelianp-adicpointsvarietiesdarmonformulasquaternionictori

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We prove formulas for the p-adic logarithm of quaternionic Darmon points on p-adic tori and modular abelian varieties over Q having purely multiplicative reduction at p. These formulas are amenable to explicit computations and are the first to treat Stark-Heegner type points on higher-dimensional abelian varieties.

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