An **isogeny** of abelian varieties is a surjective morphism with finite kernel; it is a morphism of algebraic varieties (of the same dimension) and a group homomorphism (with finite kernel).

Two abelian varieties are **isogenous** if there is an isogeny between them. This defines an equivalence relation which determines the set of isogeny classes of abelian varieties.

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- Last edited by Andrew Sutherland on 2019-04-30 00:02:58

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- 2019-04-30 00:02:58 by Andrew Sutherland (Reviewed)
- 2019-04-29 20:02:58 by Andrew Sutherland
- 2015-08-02 22:47:13 by Andrew Sutherland

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