Quaternionic Darmon points on p-adic tori and abelian varieties
Number Theory
2011-06-15 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.1106.2668,
title = {Quaternionic Darmon points on p-adic tori and abelian varieties},
author = {M. Longo and S. Vigni},
journal= {arXiv preprint arXiv:1106.2668},
year = {2011}
}
Comments
16 pages