1. Plural of isogeny; in mathematics, particularly in algebraic geometry and number theory, morphisms between elliptic curves or abelian varieties that preserve certain algebraic structures.
Usage: technical; mathematics; plural form

Examples

• The study of isogenies between elliptic curves is fundamental to modern cryptography.
• Researchers investigated the properties of isogenies defined over finite fields.
• Isogenies provide a way to relate different elliptic curves with similar arithmetic properties.
• The kernel of an isogeny determines much of its structure and behavior.
• Post-quantum cryptography relies heavily on the computational difficulty of finding isogenies.