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Abelian variety of CM-type
also called Complex multiplication of abelian varieties and has one more synonym

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  1. an abelian variety A defined over a field K is said to have CM-type if it has a large enough commutative subring in its endomorphism ring End

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 11, 2009
  2. term from mathematics

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 11, 2009
  3. The terminology here is from complex multiplication theory, which was developed for elliptic curves in the nineteenth century

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 11, 2009
  4. One of the major achievements in algebraic number theory and algebraic geometry of the twentieth century was to find the correct formulations of the corresponding theory for abelian varieties of dimension d > 1

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 11, 2009
  5. The problem is at a deeper level of abstraction, because it is much harder to manipulate analytic functions of several complex variables

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 11, 2009
  6. The formal definition is that the tensor product of End(A) with the rational number field Q, should contain a commutative subring of dimension 2d over Q. When d = 1 this can only be a quadratic field, and one recovers the cases where End(A) is an ord

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 11, 2009
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