# Kodaira embedding theorem

From Diffgeom

This article is about an embedding theorem, viz about sufficient conditions for a given manifold (with some additional structure) to be realized as an embedded submanifold of a standard space (real or complex projective or affine space)

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## Statement

if a compact complex manifold admits a closed form of type which is positive definite and represents an integral class in , then it is isomorphic to a submanifold of some complex projective space.