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

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by Andrew Sutherland on 2015-08-02 20:50:45

**Referred to by:**

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

- 2015-08-02 20:50:45 by Andrew Sutherland (Reviewed)