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arXiv · 0903.0817

The multilinear support problem for products of abelian varieties and tori

Antonella Perucca
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Abstract

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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Antonella Perucca. 2009-03-04. The multilinear support problem for products of abelian varieties and tori. https://arxiv.org/abs/0903.0817

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