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/