isogeny
Collocations
2ADJ.
dual
ISOGENY + NOUN
isomorphism, volcanoes
Definitions
noun
The condition of being isogenous.
An epimorphism of group schemes that is surjective and has a finite kernel.
It is clear that if G#95;2 is connected, then two of the defining properties of an isogeny imply the third.
2002, Mireille Fouquet, François Morain, Isogeny Volcanoes and the SEA Algorithm, Claus Fieker, David R. Kohel (editors), Algorithmic Number Theory: 5th International Symposium, Proceedings, Springer, LNCS 2369, page 279, Lemma 2.2 Let E be an elliptic curve such that Z [π] is maximal at 𝓁. If there exists an 𝓁-isogeny of E, then this 𝓁-isogeny is an horizontal 𝓁-isogeny.
Thesaurus
Synonyms
Antonyms
Idioms & Phrases
Example Bank
3It is clear that if G#95;2 is connected, then two of the defining properties of an isogeny imply the third.
Wiktionary2002, Mireille Fouquet, François Morain, Isogeny Volcanoes and the SEA Algorithm, Claus Fieker, David R. Kohel (editors), Algorithmic Number Theory: 5th International Symposium, Proceedings, Springer,
Wiktionary2005, Fred Diamond, Jerry Shurman, A First Course in Modular Forms, Springer, page 29, The dual isogeny of an isomorphism is its inverse. The dual of a composition of isogenies is the composition of t
Wiktionary