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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].

Knowl status:
  • Review status: beta
  • Last edited by Andrew Sutherland on 2021-05-06 21:16:16
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