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Complex torus
also called Complex tori

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  1. a particular kind of complex manifold M, for which (ignoring the complex structure) the underlying smooth manifold is a torus in the usual sense (i.e. the cartesian product of some number N circles)

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

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  3. Here N must be the even number 2n, where n is the complex dimension of M. It is known that all such complex structures can be obtained as follows: take a lattice &Lambda

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  4. in Cn considered as real vector space

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  5. then the quotient group is a compact complex manifold

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  6. All complex tori, up to isomorphism, are obtained in this way

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
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