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

Davide Lombardo

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

Number Theory 2015-10-13 v4 Algebraic Geometry

Authors: Davide Lombardo

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).

Keywords

Galois representations nonsimple abelian varieties finitely generated fields arithmetic geometry Moonen-Zarhin results decomposition of representations

Cite

@article{arxiv.1402.1478,
  title  = {On the $\ell$-adic Galois representations attached to nonsimple abelian varieties},
  author = {Davide Lombardo},
  journal= {arXiv preprint arXiv:1402.1478},
  year   = {2015}
}

Comments

Final version, to appear in the Annales de l'Institut Fourier

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

Abstract

Keywords

Cite

Comments

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