isogeny

i·sog·e·nous

(ī-sŏj′ə-nəs)

adj.

Having the same or similar origin, as organs or parts derived from the same embryonic tissue.

i·sog′e·ny n.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

isogenesis, isogeny

the state or process of deriving from the same source or origins, as different parts deriving from the same embryo tissues. — isogenic, isogenetic, adj.

See also: Origins

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References in periodicals archive ?

Here [[??].sub.i] are the base change maps; [??] is induced from the natural [alpha]-action on the bundle [C.sup.2] and gives an isogeny of degree det([alpha]) at each smooth fibre.

On the other hand, under [Laplace] [equivalent] [??]]K [K.sub.[??]], the pullback of weight 1 modular forms agrees with the det [([alpha]).sup.-1] multiple of the pullback of 1-forms on the fibres by the isogeny [alpha] : [S.sub.[[omega]]] [right arrow] [S.sub.[[omega][alpha]]], because [alpha] multiplies the symplectic form by det([alpha]).

Modular forms of weight 3m and elliptic modular surfaces

The Isogeny Theorem due to Faltings ([4], [section]5 Korollar 2) implies that

Then the Isogeny Theorem implies that [V.sub.l](E) and[V.sub.l](E') are isomorphic as [G.sub.F]'-modules for any prime '.

On the cohomological coprimality of Galois representations associated with elliptic curves

Ono [12,17] whose study of the behavior of [tau] under an isogeny explains the presence of Pic(H), and reduces the semisimple case to the simply connected case.