The conjecture is formulated as follows: If X is often a projective manifold, any class of rational homology of style (p, p) could be represented by elaborate submanifolds in the complex dimension p. The formulation is proposed as an extension of Thom’s aforementioned consequence, exactly where any course of rational homology of dimension k is often represented by a submanifold (a real 1, that is understood when It's not specified) of dimension k.
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Probably the most analyzed complex manifolds are Those people that could be located in the CN Room specified because the list of factors wherever some polynomials vanish (extra precisely, they are located during the complicated projective Room so as to obtain closed and borderless manifolds, but it surely is healthier never to incur into more complex phrases in this article).
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