The multilinear support problem for products of abelian varieties and tori

Details The multilinear support problem for products of abelian varieties and tori The multilinear support problem for products of abelian varieties and tori

2009-03-04

arxiv.org/abs/0903.0817v2

Mathematics

Number Theory

Scientific paper

Let G be the product of an abelian variety and a torus defined over a number field K. The aim of this paper is detecting the dependence among some given rational points of G by studying their reductions modulo all primes of K. We show that if some simple conditions on the order of the reductions of the points are satisfied then there must be a dependency relation over the ring of K-endomorphisms of G. We generalize Larsen's result on the support problem to several points on products of abelian varieties and tori.

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