An **endomorphism** of an abelian variety is a morphism from the variety to itself. The set of endomorphisms of an abelian variety $A$ form a ring in which addition is defined point-wise (using the group operation of $A$) and multiplication is composition; this is the **endomorphism ring** of $A$, denoted $\textrm{End}(A)$.

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by John Cremona on 2018-06-18 12:01:44

**Referred to by:**

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

- 2018-06-18 12:01:44 by John Cremona (Reviewed)