A simple abelian variety of dimension $g$ is said to have **complex multiplication** (CM) if its
endomorphism algebra is a CM field of degree $2g$, or equivalently, if its endomorphism ring is an order in a CM field of degree $2g$.

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- Review status: reviewed
- Last edited by Andrew Sutherland on 2020-10-21 20:24:55

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**History:**(expand/hide all)

- 2023-07-11 11:44:33 by John Jones
- 2020-10-21 20:24:55 by Andrew Sutherland (Reviewed)
- 2020-09-23 11:17:47 by John Voight
- 2020-09-23 11:15:30 by John Voight
- 2020-09-23 11:15:21 by John Voight
- 2015-08-02 20:50:45 by Andrew Sutherland (Reviewed)

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