On the Sato-Tate conjecture for non-generic abelian surfaces
Number Theory
2015-10-09 v5
Abstract
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.
Cite
@article{arxiv.1307.6478,
title = {On the Sato-Tate conjecture for non-generic abelian surfaces},
author = {Christian Johansson},
journal= {arXiv preprint arXiv:1307.6478},
year = {2015}
}
Comments
21 pages. Minor changes and corrections. With an appendix by Francesc Fit\'e. Essentially final version, to appear in Transactions of the AMS