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arxiv: 1307.6478 · v5 · pith:LK7ZQ3L6new · submitted 2013-07-24 · 🧮 math.NT

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

classification 🧮 math.NT
keywords abelianconjecturenon-genericsato-tatesurfacesautomorphybarnet-lambcases
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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.

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