On the Sato-Tate conjecture for non-generic abelian surfaces
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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.
CitationJohansson, C., Fite, F. On the Sato-Tate conjecture for non-generic abelian surfaces. "Transactions of the American Mathematical Society", Gener 2017, vol. 369, núm. 9, p. 6303-6325.