Complex torus

id: complex-torus-234-12019110
title: Complex torus
text: In mathematics, a complex torus is a particular kind of complex manifold M whose underlying smooth manifold is a torus in the usual sense. Here N must be the even number 2n, where n is the complex dimension of M. All such complex structures can be obtained as follows: take a lattice Λ in a vector space V isomorphic to Cn considered as real vector space; then the quotient group is a compact complex manifold. All complex tori, up to isomorphism, are obtained in this way. For n = 1 this is the clas
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Complex_torus
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date modified: 2024-02-16T19:58:17Z
main entity: {"identifier":"Q5156610","url":"https://www.wikidata.org/entity/Q5156610"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/d/d5/Lattice_torsion_points.svg","width":800,"height":1000}
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