Invariants related to the endomorphisms of an abelian variety $A$ include its endomorphism ring $\textrm{End}(A)$, its endomorphism algebra $\textrm{End}(A)\otimes\Q$, and its real endomorphism algebra $\textrm{End}(A)\otimes\R$, along with their geometric analogues: the geometric endomorphism ring, geometric endomorphism algebra, and real geometric endomorphism algebra of the base change of $A$ to an algebraic closure of its base field.

**Knowl status:**

- Review status: reviewed
- Last edited by John Cremona on 2020-10-12 04:05:01

**Referred to by:**

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

- 2020-10-12 04:05:01 by John Cremona (Reviewed)
- 2020-10-10 13:03:35 by John Voight
- 2020-09-26 17:06:38 by John Voight
- 2020-05-06 18:00:57 by Alex J. Best (Reviewed)
- 2018-05-23 16:37:46 by John Cremona (Reviewed)

**Differences**(show/hide)