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Longer titles found: Isogeny theorem (view), Supersingular isogeny key exchange (view), Raynaud's isogeny theorem (view), Tate's isogeny theorem (view), Supersingular isogeny graph (view)

searching for Isogeny 23 found (70 total)

alternate case: isogeny

Jacobian variety (806 words) [view diff] exact match in snippet view article find links to article

Honda–Tate theorem – classifies abelian varieties over finite fields up to isogeny Intermediate Jacobian Mumford, David (2007). Tata lectures on Theta I.

F-crystal (864 words) [view diff] exact match in snippet view article find links to article

have an action of Frobenius on them. F-isocrystals are crystals "up to isogeny". Suppose that k is a perfect field, with ring of Witt vectors W and let

Modular elliptic curve (1,161 words) [view diff] exact match in snippet view article find links to article

normalized newform with integer q-expansion, followed if need be by an isogeny. The modularity theorem implies a closely related analytic statement: to

Crystal (mathematics) (844 words) [view diff] exact match in snippet view article

quasicoherent modules over a scheme. An isocrystal is a crystal up to isogeny. They are p {\displaystyle p} -adic analogues of Q l {\displaystyle \mathbf

Classical modular curve (1,277 words) [view diff] exact match in snippet view article find links to article

order of which is the degree of the isogeny. Points on X0(n) correspond to pairs of elliptic curves admitting an isogeny of degree n with cyclic kernel. When

Analytic subgroup theorem (429 words) [view diff] exact match in snippet view article find links to article

the spectacular consequences of the analytic subgroup theorem was the Isogeny Theorem published by Masser and Wüstholz. A direct consequence is the Tate

Tripling-oriented Doche–Icart–Kohel curve (2,958 words) [view diff] exact match in snippet view article find links to article

Multiplication by Isogeny Decompositions Christophe Doche, Thomas Icart, and David R. Kohel, Efficient Scalar Multiplication by Isogeny Decompositions,

Gisbert Wüstholz (1,238 words) [view diff] exact match in snippet view article find links to article

Faltings on the Schmidt subspace theorem, his joint work with David Masser on isogeny estimates for abelian varieties, and his joint work with Alan Baker on

Modularity theorem (2,359 words) [view diff] exact match in snippet view article find links to article

normalized newform with integer q-expansion, followed if need be by an isogeny. The modularity theorem implies a closely related analytic statement: To

List of cryptosystems (120 words) [view diff] exact match in snippet view article find links to article

Lattice-based cryptography McEliece cryptosystem Multivariate cryptography Isogeny-based cryptography Corinne Bernstein. "cryptosystem". TechTarget.com. Retrieved

*-algebra (1,359 words) [view diff] exact match in snippet view article find links to article

*-algebra over the integers, where the involution is given by taking the dual isogeny. A similar construction works for abelian varieties with a polarization

Hasse–Witt matrix (834 words) [view diff] exact match in snippet view article find links to article

the p-rank is lower is that multiplication by p on A is an inseparable isogeny: the differential is p which is 0 in K. By looking at the kernel as a group

Andrew Sutherland (mathematician) (1,786 words) [view diff] exact match in snippet view article

doi:10.1112/S0010437X12000279. MR 2982436. Sutherland, Andrew V. (2013). "Isogeny volcanoes". Proceedings of the Tenth Algorithmic Number Theory Symposium

Reductive group (8,024 words) [view diff] exact match in snippet view article find links to article

and its center is the group scheme μn of nth roots of unity. A central isogeny of reductive groups is a surjective homomorphism with kernel a finite central

André–Oort conjecture (1,080 words) [view diff] exact match in snippet view article find links to article

Tsimerman in 2015 from the averaged Colmez conjecture and the Masser-Wustholtz isogeny estimates. The averaged Colmez conjecture was proved by Xinyi Yuan and

P-adic Hodge theory (2,317 words) [view diff] exact match in snippet view article find links to article

information. Both are equivalent to the p-divisible group associated to X, up to isogeny. Grothendieck conjectured that there should be a way to go directly from

Weil conjectures (7,942 words) [view diff] exact match in snippet view article find links to article

Varieties. Springer. p. 131. ISBN 3-540-58657-1. LMFDB: Abelian variety isogeny class 2.41.aj_ct over F(41) Chapter V, Theorem 19.1 in Milne, James (1986)

Monstrous moonshine (4,523 words) [view diff] exact match in snippet view article find links to article

(2 + 1)-dimensional gravity partition functions by a regularized sum over global torus-isogeny geometries. Furthermore, they conjectured the existence of a family of

Dieudonné module (1,548 words) [view diff] exact match in snippet view article find links to article

modules over an algebraically closed field k {\displaystyle k} up to "isogeny". More precisely, it classifies the finitely generated modules over D k

Deligne–Lusztig theory (4,066 words) [view diff] exact match in snippet view article find links to article

space of pairs of Borel subgroups in relative position w, under the Lang isogeny with formula g.F(g)−1. For example, if w=1 then X(w) is 0-dimensional and

List of irreducible Tits indices (2,574 words) [view diff] exact match in snippet view article find links to article

there are given (only for classical groups), a representative of the isogeny class of the group of the given Tits index. The following complete list

Complex torus (5,881 words) [view diff] exact match in snippet view article find links to article

tori. One distinct class of homomorphisms of complex tori are called isogenies. These are endomorphisms of complex tori with a non-zero kernel. For example

Moshe Jarden (3,113 words) [view diff] exact match in snippet view article find links to article

its Applications 11 (2005), 123-150. G. Frey and M. Jarden, Horizontal isogeny theorems, Forum Mathematicum 14 (2002), 931-952. D. Haran, M. Jarden, and