An isogeny of abelian varieties is a surjective algebraic group homomorphism with finite kernel.
Two abelian varieties are isogenous if there is an isogeny between them. This defines an equivalence relation on the set of isomorphism classes. Equivalence classes are called isogeny classes.
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- Last edited by Bjorn Poonen on 2022-03-26 16:05:25
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- ag.selmer_group
- av.fq.curve_point_counts
- av.fq.one_rational_point
- av.isogeny_class
- av.polarization
- av.tate_module
- curve.highergenus.aut.groupalgebradecomp
- ec.isogeny
- g2c.decomposition
- g2c.end_alg
- g2c.geom_end_alg
- g2c.isogeny_class
- modcurve.decomposition
- modcurve.gassmann_class
- lmfdb/genus2_curves/templates/g2c_isogeny_class.html (line 94)
- 2022-03-26 16:05:25 by Bjorn Poonen (Reviewed)
- 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