We give some easy necessary and sufficient criteria for twists of abelian varieties by Artin representations to be simple.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-1-2,
author = {Alex Bartel},
title = {Simplicity of twists of abelian varieties},
journal = {Acta Arithmetica},
volume = {168},
year = {2015},
pages = {15-22},
zbl = {06487223},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-1-2}
}
Alex Bartel. Simplicity of twists of abelian varieties. Acta Arithmetica, Tome 168 (2015) pp. 15-22. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-1-2/