Arithmetic invariants from Sato--Tate moments
arXiv:1910.00518 · doi:10.1016/j.crma.2019.11.008
Abstract
We give some arithmetic-geometric interpretations of the moments M_2[a_1], M_1[a_2], and M_1[s_2] of the Sato-Tate group of an abelian variety A defined over a number field by relating them to the ranks of the endomorphism ring and Néron-Severi group of A.
4 pages