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  1. Equations defining abelian varieties: In mathematics, the concept of abelian variety is the higher-dimensional generalization of the elliptic curve. The equations defining abelian varieties are a topic of study because every abelian variety is a projective variety. [100%] 2023-10-02 [Abelian varieties]
  2. Moduli of abelian varieties: Abelian varieties are a natural generalization of elliptic curves, including algebraic tori in higher dimensions. Just as elliptic curves have a natural moduli space M 1 , 1 {\displaystyle {\mathcal {M}}_{1,1}} over characteristic 0 constructed as a quotient ... [100%] 2023-10-02 [Abelian varieties] [Elliptic curves]...
  3. Arithmetic of abelian varieties: In mathematics, the arithmetic of abelian varieties is the study of the number theory of an abelian variety, or a family of abelian varieties. It goes back to the studies of Pierre de Fermat on what are now recognized as ... [100%] 2024-05-12 [Abelian varieties] [Diophantine geometry]...
  4. Moduli of abelian varieties: Abelian varieties are a natural generalization of elliptic curves, including algebraic tori in higher dimensions. Just as elliptic curves have a natural moduli space \displaystyle{ \mathcal{M}_{1,1} }[/math] over characteristic 0 constructed as a quotient of the ... [100%] 2024-12-18 [Abelian varieties] [Elliptic curves]...

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  1. Abelin: Abelin is a surname, and may refer to: .mw-parser-output .dmbox{display:flex;align-items:center;clear:both;margin:0.9em 1em;border-top:1px solid #ccc;border-bottom:1px solid #ccc;padding:0.25em 0.35em;font-style ... [81%] 2022-06-27
  2. Aelian: Aelian or Aelianus may refer to. [81%] 2023-12-16
  3. Abelia: B, 376, 1818 Especies * Ver texto * Lista completa de todos los taxones descritos con las sinonimias[1] Sinonimia * Vesalea M. Martens & Galeotti * Zabelia (Rehder) Makino [editar datos en Wikidata] Abelia es un género de unas 70 especies descritas, de las ... [81%] 2023-05-17
  4. Varietés: Varietés es una película española de drama estrenada en 1971, escrita y dirigida por Juan Antonio Bardem y protagonizada en los papeles principales por Sara Montiel, Vicente Parra y Chris Avram.​ Se trata de un remake o revisión de Cómicos ... [76%] 2025-04-07
  5. Versatile Varieties: Versatile Varieties, also known as Bonnie Maid Versatile Varieties and Bonny Maid Versatile Varieties, is a TV series that ran from 1949 to 1951 on NBC, CBS and ABC under three different formats. The sponsor was Bonnie Maid Linoleum. [72%] 2023-12-31 [1949 American television series debuts] [1951 American television series endings]...
  6. Cinema Varieties: Cinema Varieties is a television program on the DuMont Television Network which was shown on Sunday nights at 8:30pm ET from September 1949 to November 1949. Clips from old movies were shown on this 30-minute program. (American television program) [72%] 2024-01-07 [DuMont Television Network original programming] [1949 American television series debuts]...
  7. Prym varieties: If C is an algebraic curve, and τ {\displaystyle \tau } is a fixed point free involution on C, then the prym variety of the double cover C → ( C / τ ) {\displaystyle C\to (C/\tau )} is P r y m ( C , τ ) = I m ... [72%] 2023-07-01
  8. Aberfan: Aberfan es una localidad situada en el condado de Merthyr Tydfil, en Gales (Reino Unido), con una población estimada a mediados de 2016 de 3526 habitantes.​ Se encuentra ubicada al sur de Gales, a poca distancia al norte de Cardiff ... [70%] 2024-01-11
  9. Abelitas: Los abelonitas fueron una secta de herejes que vivieron en la diócesis de Hipona en tiempo del emperador Arcadio y que solo duraron hasta el año 430; según todas las posibilidades, procedían de los antiguos gnósticos. Creencias[editar] Aunque eran ... [70%] 2023-05-17
  10. Abelianos: Los abelonitas fueron una secta de herejes que vivieron en la diócesis de Hipona en tiempo del emperador Arcadio y que solo duraron hasta el año 430; según todas las posibilidades, procedían de los antiguos gnósticos. Creencias[editar] Aunque eran ... [70%] 2023-05-17
  11. Ableman: Ableman is a surname. Notable people with the surname include. [70%] 2023-12-18
  12. Abetina: : ✖ Población aislada. [70%] 2023-05-17
  13. Abelgas: Abelgas de Luna asentamiento Abelgas de Luna Ubicación de Abelgas de Luna en España. Abelgas de Luna Ubicación de Abelgas de Luna en la provincia de León. Es accesible por carretera desde la capital municipal, pero también se puede acceder ... [70%] 2023-05-17
  14. Abellas: Abellas es un pueblo del concejo de Zas, en la provincia de La Coruña. Está al sur del municipio, situado entre los regos de Amelleiras y Fonte Espiño. Accesible por pista desde el pueblo de Fuente Espiño. [70%] 2023-05-17
  15. Antelian: The Antelian culture, now called Levantine Aurignacian, is an Upper Paleolithic phase of the Levant (Syria, Lebanon, Palestine) that evolved from the Emiran culture. The most important innovation in this period is the incorporation of some typical elements of Aurignacian ... (Social) [70%] 2023-11-23
  16. Ajemian: Ajemian (Armenian: Աճեմյան, classical orthography: Աճէմեան) is an Armenian surname. Notable people with the surname include: (Turkified version of this surname). [70%] 2024-01-06 [Armenian-language surnames]

external From search of external encyclopedias:

  1. Timeline of abelian varieties ... This is a timeline of the theory of abelian varieties in algebraic geometry, including elliptic curves. 3rd century AD Diophantus of Alexandria studies..
  2. Equations defining abelian varieties ... lian variety is the higher-dimensional generalization of the elliptic curve. The equations defining abelian varieties are a topic of...
  3. Complex multiplication of abelian varieties ... involution), leading to a classification of CM-type abelian varieties. To construct such varieties in the same style as for elliptic curves, starting with...
  4. Abelian variety ... i.e., has a group law that can be defined by regular functions. Abelian varieties are at the same time among the most studied objects in algebraic geometry...
  5. Abelian surface ...elliptic curve]] of [[genus]] two or a product of two [[elliptic curves]]. Abelian surfaces are one of the two types of [[algebraic surfaces]] with trivial [[ ...a polarization is call a ''polarized Abelian surface''. Given a polarized Abelian variety <math>(A,D)</math> we define the ''polarization map'' ...
  6. Abelian surface ... n abelian variety. The algebraic ones are called abelian surfaces and are exactly the 2-dimensional abelian varieties. Most of their theory...
  7. Abelian group In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements...
  8. Abelian integral ... the concept of abelian variety, or more precisely in the way an algebraic curve can be mapped into abelian varieties. Abelian integrals were later...
  9. Abelian Look up Abelian or abelian in Wiktionary, the free dictionary. Abelian may refer to: Abelian group, a group in which the binary operation is commutative...
  10. Non-abelian group In mathematics, and specifically in group theory, a non-abelian group, sometimes called a non-commutative group, is a group (G, ∗) in which there exists...
  11. Semiabelian to: Semiabelian group, in Galois theory Semiabelian variety, in algebraic geometry Semi-abelian category, in category theory This disambiguation page...
  12. Divergent series the actual limit on all convergent series. Such a result is called an Abelian theorem for M, from the prototypical Abel's theorem. More subtle, are partial...
  13. Adjoint functors in the category of abelian groups, where F was the functor - \otimes ... in a continuous family of algebraic varieties. The entire proof turned ... ...
  14. Supersingular variety ring of endomorphisms of rank 4. Supersingular Abelian variety Sometimes defined to be an abelian variety isogenous to a product of supersingular elliptic...
  15. Free abelian group In mathematics, a free abelian group is an abelian group with a basis. Being an abelian group means that it is a set with an addition operation that is...
  16. Algebraic geometry ... y are algebraic varieties, which are geometric manifestations ... their defining equations, are the abelian varieties, which are the projective ... ...
  17. Algebraic structure * Abelian group: a group whose binary operation is commutative. ... * Ring: a semiring whose additive monoid is an abelian group. ... ...
  18. Finite field is an abelian group under the multiplication, of order q – 1 ... The structure theorem of finite abelian groups implies that this multiplicative ... ...
  19. Axiom of choice The axiom of choice is avoided in some varieties of constructive mathematics ... axiom of choice varies between different varieties of constructive mathematics. ... ...
  20. Varietà abeliana ... of Abelian varieties, Springer-Verlag, 1990, ISBN 3-540-52015-5, OCLC 20995278. URL consultato il 29 novembre ...
  21. Semistable abelian variety In algebraic geometry, a semistable abelian variety is an abelian variety defined over a global or local field, which is characterized by how it reduces...
  22. Siegel modular variety ... arieties by Serre's GAGA. The Siegel modular variety Ag(n), which parametrize principally polarized abelian varieties of dimension g with...
  23. Hasse–Witt matrix ... one can get the more complete structure (reference David Mumford Abelian Varieties pp. 146–7); but if for example one looks at reduction mod p of a division...
  24. Gauge fixing any non-abelian gauge theory, any maximal abelian gauge is an incomplete gauge which fixes the gauge freedom outside of the maximal abelian subgroup...
  25. Graded ring ring is a ring such that the underlying additive group is a direct sum of abelian groups R i {\displaystyle R_{i}} such that ⁠ R i R j ⊆ R i + j {\displaystyle...
  26. Field (mathematics) addition and multiplication; it is an abelian group under addition with ... imply that it is an abelian group under addition. This group is called ... ...
  27. Elliptic curve ... An elliptic curve is an abelian variety – that is, it has a group ... Arithmetic of abelian varieties [[File:Elliptic curve on Z61.svg|thumb ... ...
  28. Tensor product -module, but just an abelian group. The universal property also carries ... a bilinear map of the abelian group A \times B. For any middle linear ... ...
  29. Graded ring additive group is a direct sum of abelian groups R_i such that R_i ... homogeneous polynomials and projective varieties (cf. Homogeneous coordinate ... ...
  30. Michael Atiyah integrals of the second kind on algebraic varieties, and resulted in an invitation ... opposite polarity form a dipole. These are abelian monopoles; the non-abelian ... ...


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