On the Sato-Tate conjecture for non-generic abelian surfaces

Johansson, Christian

doi:10.1090/tran/6847

On the Sato-Tate conjecture for non-generic abelian surfaces
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by Christian Johansson; with an appendix by Francesc Fité PDF

Trans. Amer. Math. Soc. 369 (2017), 6303-6325

Abstract:

We prove many non-generic cases of the Sato-Tate conjecture for abelian surfaces as formulated by Fité, Kedlaya, Rotger and Sutherland, using the potential automorphy theorems of Barnet-Lamb, Gee, Geraghty and Taylor.

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