This is a timeline of the theory of abelian varieties in algebraic geometry, including elliptic curves. 3rd century AD Diophantus of Alexandria studies...

Historically the first abelian varieties to be studied were those defined over the field of complex numbers. Such abelian varieties turn out to be exactly...

concept of abelian variety is the higher-dimensional generalization of the elliptic curve. The equations defining abelian varieties are a topic of study...

1882. Holomorphic function Timeline of abelian varieties Félix, Lucienne (2008), "Briot, Charles Auguste", Complete Dictionary of Scientific Biography O'Connor...

The so-called quasi-abelian functions are all known to come from extensions of abelian varieties by commutative affine group varieties. Therefore, the old...

construction of the regular 257-gon with compass and straightedge. In 1825, he joined the Corps Masovia. He died in Königsberg in 1875. Timeline of abelian varieties...

dimension. More precisely, Siegel modular varieties are the moduli spaces of principally polarized abelian varieties of a fixed dimension. They are named after...

literally translated as "analytic varieties", while spaces with an algebraic structure are called "algebraic varieties". Thus for example, the French word...

This is a timeline of manifolds, one of the major geometric concepts of mathematics. For further background see history of manifolds and varieties. Manifolds...

books is that Lang used abelian varieties and offered a proof of Siegel's theorem, while Mordell noted that the proof "is of a very advanced character"...

certain cases of the weight-monodromy conjecture. Arithmetic dynamics Arithmetic of abelian varieties Birch and Swinnerton-Dyer conjecture Moduli of algebraic...

work on homological algebra, to unify categories of sheaves of abelian groups, and of modules. An abelian category is supposed to be closed under certain...

This is a timeline of category theory and related mathematics. Its scope ("related mathematics") is taken as: Categories of abstract algebraic structures...

their defining equations, are the abelian varieties, which are the projective varieties whose points form an abelian group. The prototypical examples are...

topology topics, glossary of category theory, glossary of differential geometry and topology, Timeline of manifolds. Convention: Throughout the article, I denotes...

group structure and the axiom of choice.) Every free abelian group is projective. Baer's criterion: Every divisible abelian group is injective. Every set...

Zbl 0089.02402 Mazur, Barry; Wiles, Andrew (1984), "Class fields of abelian extensions of Q", Inventiones Mathematicae, 76 (2): 179–330, Bibcode:1984InMat...

groups of residues mod n and established many properties of cyclic and more general abelian groups that arise in this way. In his investigations of composition...

groups and abelian groups. Klein's 1872 Erlangen program studied geometry and led to symmetry groups such as the Euclidean group and the group of projective...

mathematician Peter Woit summarised the state of research at the time: Yang and Mills work on non-abelian gauge theory had one huge problem: in perturbation...

this to the case of an abelian variety A, André Weil had to make more explicit the way of quantifying the size of a solution, by means of a height function...

groups with elementary abelian subgroups of rank at least 3.) A group is said to be of component type if for some centralizer C of an involution, C/O(C)...

tempered octave form an abelian group with 12 elements. It is possible to describe just intonation in terms of a free abelian group. In music theory,...

cryptographic systems rely on the properties of isogeny graphs of elliptic curves (and higher-dimensional abelian varieties) over finite fields, in particular supersingular...

group. The stabilizer group S n {\displaystyle {\mathcal {S}}_{n}} is an abelian subgroup from the Pauli group P n {\displaystyle {\mathcal {P}}_{n}} ,...

1103/PhysRev.96.25. Kleinert, H. (1982). "Disorder Version of the Abelian Higgs Model and the Order of the Superconductive Phase Transition" (PDF). Lettere...

Navier–Stokes V. Lakshmibai, Indian-American expert on flag varieties and Schubert varieties Matilde Lalín, Argentine-Canadian number theorist, expert on...

und ihr Analogon bei nicht kommutativen Gruppen" [The Theory of Automorphism-Rings of Abelian Groups and Their Analogs in Noncommutative Groups], Mathematische...

p. 37. ISBN 978-1-84724-008-8. Mumford, David (1966), "Families of abelian varieties", Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure...

and actor Steven Zaillian, screenwriter, producer Hovhannes Abelian, actor, People's Artist of the Armenian SSR Petros Adamian, poet, writer, artist and...