Arithmetic invariants from Sato--Tate moments
Number Theory
2021-04-05 v2
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 N\'eron-Severi group of A.
Keywords
Cite
@article{arxiv.1910.00518,
title = {Arithmetic invariants from Sato--Tate moments},
author = {Edgar Costa and Francesc Fité and Andrew V. Sutherland},
journal= {arXiv preprint arXiv:1910.00518},
year = {2021}
}
Comments
4 pages