show · st_group.first_a2_moment all knowls · up · search:

The first $a_2$ moment of a Sato-Tate group $G$ is the expected value of the quadratic coefficient of the characteristic polynomial of a random element of $G$ (under its Haar measure).

When $G$ is the Sato-Tate group of an abelian variety, the first $a_2$ momentt is equal to the rank of its he Néron–Severi group [arXiv:1910.00518, MR:4038255].

Authors:
Knowl status:
• Review status: beta
• Last edited by Andrew Sutherland on 2021-03-19 21:32:58
Referred to by:
History: