Complex multiplication
In mathematics, complex multiplication (CM) is the theory of elliptic curves E that have an endomorphism ring larger than the integers; and also the theory in higher dimensions of abelian varieties A having enough endomorphisms in a certain precise sense (it roughly means that the action on the tangent space at the identity element of A is a direct sum of one-dimensional modules). Put another way, it contains the theory of elliptic functions with extra symmetries, such as are visible when the period lattice is the Gaussian integer lattice or Eisenstein integer lattice.
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Algebraic number theoryAndrew_WilesBirch and Swinnerton-Dyer conjectureCM-fieldChowla–Selberg formulaChristopher DeningerClass field theoryClass formationComplex multiplication of abelian varietiesDiophantine geometryDisquisitiones ArithmeticaeDrinfeld moduleElliptic curveElliptic curve primalityElliptic pseudoprimeElliptic unitEquianharmonicFermat curveField (mathematics)Formal group lawFourQFunctional equation (L-function)Gelfond's constantGlossary of arithmetic and diophantine geometryGoro ShimuraHecke characterHeegner numberHilbert's twelfth problemHilbert class fieldHodge conjectureJ-invariantJennifer BalakrishnanJohn H. CoatesJohn TateKummer sumL. A. SohnkeLehmer's conjectureLemniscate of BernoulliList of algebraic geometry topicsList of algebraic number theory topics
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Complex multiplication
In mathematics, complex multiplication (CM) is the theory of elliptic curves E that have an endomorphism ring larger than the integers; and also the theory in higher dimensions of abelian varieties A having enough endomorphisms in a certain precise sense (it roughly means that the action on the tangent space at the identity element of A is a direct sum of one-dimensional modules). Put another way, it contains the theory of elliptic functions with extra symmetries, such as are visible when the period lattice is the Gaussian integer lattice or Eisenstein integer lattice.
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Em matemática, multiplicação c ...... culo do inteiro de Eisenstein.
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En matemáticas, la multiplicac ...... sino también toda la ciencia.
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En mathématiques, une courbe e ...... douzième problème de Hilbert.
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In de wiskunde is complexe ver ...... stein geheeltallig rooster is.
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In matematica la moltiplicazio ...... atica, ma di tutta la scienza.
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In mathematics, complex multip ...... athematics but of all science.
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虚数乗法(complex multiplication)とは ...... ならず、すべての科学の中の最も美しい分野であると言っている。
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Em matemática, multiplicação c ...... culo do inteiro de Eisenstein.
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En matemáticas, la multiplicac ...... retículo entero de Eisenstein.
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En mathématiques, une courbe e ...... douzième problème de Hilbert.
@fr
In de wiskunde is complexe ver ...... stein geheeltallig rooster is.
@nl
In matematica la moltiplicazio ...... di moduli di dimensione uno).
@it
In mathematics, complex multip ...... or Eisenstein integer lattice.
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虚数乗法(complex multiplication)とは ...... ならず、すべての科学の中の最も美しい分野であると言っている。
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Complex multiplication
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Complexe vermenigvuldiging
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Moltiplicazione complessa
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Multiplicación compleja
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Multiplication complexe
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Multiplicação complexa
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虚数乗法
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복소 곱셈
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