2019Acta ArithmeticaOpen access

Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem

Dimitar Jetchev, Benjamin Wesolowski

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Abstract

Fix an ordinary abelian variety defined over a finite field. By complex multiplication, the ideal class group of its endomorphism ring acts freely on the set of isogenous varieties with the same endomorphism ring. Any subgroup of the class group, and

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Fix an ordinary abelian variety defined over a finite field. By complex multiplication, the ideal class group of its endomorphism ring acts freely on the set of isogenous varieties with the same endomorphism ring. Any subgroup of the class group, and

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Available abstract

Fix an ordinary abelian variety defined over a finite field. By complex multiplication, the ideal class group of its endomorphism ring acts freely on the set of isogenous varieties with the same endomorphism ring. Any subgroup of the class group, and

Key concepts: Isogeny, Mathematics, Endomorphism ring, Abelian group, Abelian variety, Ideal class group, Discrete mathematics, Discrete logarithm

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