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arXiv · 0803.1682

An open image theorem for a general class of abelian varieties

Chris Hall
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Abstract

Let K be a number field and A/K be a polarized abelian variety with absolutely trivial endomorphism ring. We show that if the Neron model of A/K has at least one fiber with potential toric dimension one, then for almost all rational primes ell, the Galois group of the splitting field of the ell-torsion of A is GSp_{2g}(Z/ell).

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Chris Hall. 2008-03-11. An open image theorem for a general class of abelian varieties. https://doi.org/10.1112/blms%2Fbdr004

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