An isogenous group (lat. "equal origin") is a cluster of up to eight chondrocytes found in hyaline and elastic cartilage. Chondrocytes develop in the...
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Isogenous may refer to: Of abelian varieties, the property of being linked by an isogeny An isogenous group of cells in medicine Isogenic (disambiguation)...
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Algebraic torus (category Linear algebraic groups)
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...
24 KB (3,967 words) - 11:13, 2 July 2024
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...
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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...
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Abelian variety (redirect from Semiabelian group scheme)
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...
21 KB (2,918 words) - 10:20, 25 April 2024
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...
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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...
21 KB (2,753 words) - 18:41, 26 January 2024
tissue for examination. The inter-territorial space between the isogenous cell groups contains relatively more collagen fibres, allowing it to maintain...
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{\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...
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Jacobian variety of the Fermat curve has been studied in depth. It is isogenous to a product of simple abelian varieties with complex multiplication....
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{\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}}...
25 KB (3,699 words) - 00:30, 30 December 2023
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...
15 KB (1,950 words) - 05:33, 16 August 2024
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...
9 KB (1,346 words) - 22:44, 18 December 2022
generalizations of the Sato–Tate conjecture by Harris (for products of non-isogenous elliptic curves) and Barnet-Lamb–Geraghty–Harris–Taylor (for arbitrary...
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Supersingular Abelian variety Sometimes defined to be an abelian variety isogenous to a product of supersingular elliptic curves, and sometimes defined to...
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Schoof–Elkies–Atkin algorithm (category Group theory)
{\displaystyle \Phi _{l}(X,Y)} that parametrize pairs of l {\displaystyle l} -isogenous elliptic curves in terms of their j-invariants (in practice alternative...
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Witt vector (category Algebraic groups)
p} , any unipotent abelian connected algebraic group is isogenous to a product of truncated Witt group schemes. André Joyal explicated the universal property...
35 KB (7,389 words) - 06:45, 24 August 2023
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...
8 KB (654 words) - 16:51, 12 May 2024
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...
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normal functions implies that the Picard variety and Albanese variety are isogenous. 1913 Torelli's theorem 1916 Gaetano Scorza applies the term "abelian...
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mapping x ↦ − x. More precisely, A is a supersingular abelian surface, isogenous to the product of two supersingular elliptic curves. K3 surface Tate conjecture...
11 KB (1,401 words) - 20:39, 16 August 2022
Daniel (2018). "Motives of isogenous K3 surfaces". arXiv:1705.04063 [math.AG]. Brion, Michel. "Notes on Automorphism Groups of Projective Varieties" (PDF)...
26 KB (4,702 words) - 03:51, 1 July 2024