nLab
isogeny

Contents

Contents

Idea

An isogeny is a surjection of algebraic groups that has a finite kernel. For abelian varieties, this is equivalently a rational map between groups of the same dimension that preserves the neutral element (which implies that it is a group homomorphism).

References

Examples of sporadic (exceptional) isogenies from spin groups onto orthogonal groups are discussed in

Last revised on October 4, 2018 at 05:42:01. See the history of this page for a list of all contributions to it.