Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem
Dimitar Jetchev, Benjamin Wesolowski
Abstract
Open-access reader
Dimitar Jetchev, Benjamin Wesolowski
Abstract
Open-access reader
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
Key concepts: Isogeny, Mathematics, Endomorphism ring, Abelian group, Abelian variety, Ideal class group, Discrete mathematics, Discrete logarithm