Sato-Tate Groups of Abelian Threefolds

Francesc Fite, Universitat de Barcelona, Spain.Kiran S. Kedlaya, University of California San Diego, California.Andrew V. Sutherland, Massachusetts Institute of Technology, Cambridge, Massachusetts.

• 1. Introduction2. Conventions3. Background on Sato-Tate groups4. The classification upper bound, part 15. The classification upper bound, part 2: The case $G^0 = \mathrm {U}(1)_3$6. Statistics on Sato-Tate distributions7. Methods for explicit realizations of abelian threefolds8. The lower bound via explicit realizations9. Tables