On the $\ell$-adic Galois representations attached to nonsimple abelian varieties

Davide Lombardo

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arXiv · 1402.1478

On the $\ell$-adic Galois representations attached to nonsimple abelian varieties

Davide Lombardo

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Abstract

We study Galois representations attached to nonsimple abelian varieties over finitely generated fields of arbitrary characteristic. We give sufficient conditions for such representations to decompose as a product, and apply them to prove arithmetical analogues of results shown by Moonen and Zarhin in the context of complex abelian varieties (of dimension at most 5).

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Davide Lombardo. 2014-02-06. On the $\ell$-adic Galois representations attached to nonsimple abelian varieties. https://arxiv.org/abs/1402.1478

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