In mathematics, particularly in algebraic geometry, an isogeny is a morphism of algebraic groups (also known as group varieties) that is surjective and...

Supersingular isogeny Diffie–Hellman key exchange (SIDH or SIKE) is an insecure proposal for a post-quantum cryptographic algorithm to establish a secret...

properties of isogeny graphs of elliptic curves (and higher-dimensional abelian varieties) over finite fields, in particular supersingular isogeny graphs, to...

In mathematics, isogeny theorem may refer to: Raynaud's isogeny theorem Tate's isogeny theorem This disambiguation page lists mathematics articles associated...

In mathematics, the supersingular isogeny graphs are a class of expander graphs that arise in computational number theory and have been applied in elliptic-curve...

mythology Supersingular Isogeny Diffie–Hellman Key Exchange, post-quantum public key cryptographic algorithm; see Supersingular isogeny key exchange Siddha...

In mathematics, Tate's isogeny theorem, proved by Tate (1966), states that two abelian varieties over a finite field are isogeneous if and only if their...

In mathematics, Raynaud's isogeny theorem, proved by Raynaud (1985), relates the Faltings heights of two isogeneous elliptic curves. Raynaud, Michel (1985)...

Given an isogeny f : E → E ′ {\displaystyle f:E\rightarrow E'} of elliptic curves of degree n {\displaystyle n} , the dual isogeny is an isogeny f ^ : E...

varieties, still over the complex numbers, A is in the same isogeny class as its dual. An explicit isogeny can be constructed by use of an invertible sheaf L on...