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

By C. Johansson. 2013

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f19f8d2cd665226acdf7ef691846600d6a45ff0b