%0 Journal Article %T On the Sato-Tate conjecture for non-generic abelian surfaces %A Christian Johansson %J Mathematics %D 2013 %I arXiv %X We prove many non-generic cases of the Sato-Tate conjecture for abelian surfaces as formulated by Fite, Kedlaya, Rotger and Sutherland, using the potential automorphy theorems of Barnet-Lamb, Gee, Geraghty and Taylor. %U http://arxiv.org/abs/1307.6478v5