Quaternionic Darmon points on p-adic tori and abelian varieties

Details Quaternionic Darmon points on p-adic tori and abelian varieties Quaternionic Darmon points on p-adic tori and abelian varieties

2011-06-14

arxiv.org/abs/1106.2668v1

Mathematics

Number Theory

16 pages

Scientific paper

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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