An isogenous group (lat. "equal origin") is a cluster of up to eight chondrocytes found in hyaline and elastic cartilage. Chondrocytes develop in the...

Isogenous may refer to: Of abelian varieties, the property of being linked by an isogeny An isogenous group of cells in medicine Isogenic (disambiguation)...

zero. An isogeny between algebraic groups is a surjective morphism with finite kernel; two tori are said to be isogenous if there exists an isogeny from...

varieties isogenous to a Jacobian". Annals of Mathematics. 176: 589–635. doi:10.4007/annals.2012.176.1.11. S2CID 3153696. Abelian varieties isogenous to no...

a group homomorphism between the groups of k-valued points of A and B, for any field k over which f is defined. The terms "isogeny" and "isogenous" come...

variety is simple if it is not isogenous to a product of abelian varieties of lower dimension. Any abelian variety is isogenous to a product of simple abelian...

arise in connection with X0(n) since points on it correspond to some n-isogenous pairs of elliptic curves. An isogeny between two elliptic curves is a...

A non-uniform lattice in a rank 1 simple Lie group is hyperbolic if and only if the group is isogenous to S L 2 ( R ) {\displaystyle \mathrm {SL} _{2}(\mathbb...

tissue for examination. The inter-territorial space between the isogenous cell groups contains relatively more collagen fibres, allowing it to maintain...

{\displaystyle \mathbb {Q} _{\ell }} -modules with Galois action) are isogenous. A sample application of Faltings's theorem is to a weak form of Fermat's...

Jacobian variety of the Fermat curve has been studied in depth. It is isogenous to a product of simple abelian varieties with complex multiplication....

{\displaystyle \phi _{A}:E\rightarrow E_{A}} and curve E A {\displaystyle E_{A}} isogenous to E . {\displaystyle E.} 4A. A applies ϕ A {\displaystyle \phi _{A}}...

e^{y_{2}z}} in the classical statement. Let G = Gm × E and suppose E is not isogenous to a curve over a real field and that u(C) is not an algebraic subgroup...

subvariety A1 of A, there is another subvariety A2 of A such that A1 × A2 is isogenous to A (Poincaré's reducibility theorem: see for example Abelian Varieties...

generalizations of the Sato–Tate conjecture by Harris (for products of non-isogenous elliptic curves) and Barnet-Lamb–Geraghty–Harris–Taylor (for arbitrary...

Supersingular Abelian variety Sometimes defined to be an abelian variety isogenous to a product of supersingular elliptic curves, and sometimes defined to...

{\displaystyle \Phi _{l}(X,Y)} that parametrize pairs of l {\displaystyle l} -isogenous elliptic curves in terms of their j-invariants (in practice alternative...

p} , any unipotent abelian connected algebraic group is isogenous to a product of truncated Witt group schemes. André Joyal explicated the universal property...

In 1985, he proved Raynaud's isogeny theorem on Faltings heights of isogenous elliptic curves. With David Harbater and following the work of Jean-Pierre...

conditional proof of a result for the product of two elliptic curves (not isogenous) following from such a hypothetical trace formula. In 2011, Barnet-Lamb...

normal functions implies that the Picard variety and Albanese variety are isogenous. 1913 Torelli's theorem 1916 Gaetano Scorza applies the term "abelian...

mapping x ↦ − x. More precisely, A is a supersingular abelian surface, isogenous to the product of two supersingular elliptic curves. K3 surface Tate conjecture...

Daniel (2018). "Motives of isogenous K3 surfaces". arXiv:1705.04063 [math.AG]. Brion, Michel. "Notes on Automorphism Groups of Projective Varieties" (PDF)...