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

The second trace moment of a Sato-Tate group $G$ is the expected value of the square of the trace of a random element of $G$ (under its Haar measure).

When $G$ is the Sato-Tate group of an abelian variety, this is equal to the dimension of its endomorphism algebra [arXiv:1910.00518 , MR:4038255 ].

Authors:
Knowl status:
  • Review status: beta
  • Last edited by Andrew Sutherland on 2021-05-06 21:16:16
Referred to by:
History: (expand/hide all) Differences (show/hide)