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# isogeny

The condition of being isogenous

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• Isogeny — in mathematics may refer to* Isogeny (elliptic curves) * Abelian varieties up to isogeny …   Wikipedia

• isogeny — /ī sojˈə ni/ noun Likeness of origin ORIGIN: ↑iso and Gr genos kind • • • isogenetic /ī sō ji netˈik/, isogenic / jenˈik/ or isogˈenous adjective …   Useful english dictionary

• isogeny — See isogenous. * * * …   Universalium

• isogeny — sameness or similarity of origin Causation and Formation …   Phrontistery dictionary

• isogenous — isogeny, n. /uy soj euh neuhs/, adj. Biol. of the same or similar origin, as parts derived from the same or corresponding tissues of the embryo. [1880 85; ISO + GENOUS] * * * …   Universalium

• Dual abelian variety — In mathematics, a dual abelian variety can be defined from an abelian variety A, defined over a field K. Contents 1 Definition 2 History 3 Dual isogeny (elliptic curve case) …   Wikipedia

• Algebraic torus — In mathematics, an algebraic torus is a type of commutative affine algebraic group. These groups were named by analogy with the theory of tori in Lie group theory (see maximal torus). The theory of tori is in some sense opposite to that of… …   Wikipedia

• Elliptic curve — In mathematics, an elliptic curve is a smooth, projective algebraic curve of genus one, on which there is a specified point O . An elliptic curve is in fact an abelian variety mdash; that is, it has a multiplication defined algebraically with… …   Wikipedia

• Localization of a category — In mathematics, localization of a category consists of adding to a category inverse morphisms for some collection of morphisms, constraining them to become isomorphisms. This is formally similar to the process of localization of a ring; it in… …   Wikipedia

• Abelian variety — In mathematics, particularly in algebraic geometry, complex analysis and number theory, an Abelian variety is a projective algebraic variety that is at the same time an algebraic group, i.e., has a group law that can be defined by regular… …   Wikipedia

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