isogeny造句

By a theorem of Henri Carayol, if an elliptic curve is modular then its conductor, an isogeny invariant described originally in terms of cohomology, is the smallest integer such that there exists a rational mapping.
An explicit isogeny can be constructed by use of an invertible sheaf " L " on " A " ( i . e . in this case a holomorphic line bundle ), when the subgroup
To avoid quantum computing concerns, an elliptic curve-based alternative to Elliptic Curve Diffie Hellman which is not susceptible to Shor's attack is the Supersingular Isogeny Diffie Hellman Key Exchange of De Feo, Jao and Plut.
Isogenies between tori are particularly well-behaved : for any isogeny \ phi : \ mathbf T \ to \ mathbf T'there exists a " dual " isogeny \ psi : \ mathbf T'\ to \ mathbf T such that \ psi \ circ \ phi is a power map.
Isogenies between tori are particularly well-behaved : for any isogeny \ phi : \ mathbf T \ to \ mathbf T'there exists a " dual " isogeny \ psi : \ mathbf T'\ to \ mathbf T such that \ psi \ circ \ phi is a power map.
It's difficult to find isogeny in a sentence. 用isogeny造句挺难的

The Selmer group, named after Ernst S . Selmer, of " A " with respect to an isogeny " f " : " A " ?! " B " of abelian varieties is a related group which can be defined in terms of Galois cohomology as
An " isogeny " between two elliptic curves is a non-trivial morphism of varieties ( defined by a rational map ) between the curves which also respects the group laws, and hence which sends the point at infinity ( serving as the identity of the group law ) to the point at infinity.
A "'polarisation "'of an abelian variety is an " isogeny " from an abelian variety to its dual that is symmetric with respect to " double-duality " for abelian varieties and for which the pullback of the Poincar?bundle along the associated graph morphism is ample ( so it is analogous to a positive-definite quadratic form ).
If " N " is the smallest integer for which such a parametrization can be found ( which by the modularity theorem itself is now known to be a number called the " conductor " ), then the parametrization may be defined in terms of a mapping generated by a particular kind of modular form of weight two and level " N ", a normalized newform with integer " q "-expansion, followed if need be by an isogeny.

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