High Quality Content by WIKIPEDIA articles! In mathematics, a projective algebraic manifold is a projective complex manifold which is a submanifold of a complex projective space which is determined by the zeros of a set of homogeneous polynomials. In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk in Cn, such that the transition maps are holomorphic. The term complex manifold is variously used to mean a complex manifold in the sense above (which can be specified as an integrable complex manifold), and an almost-complex manifold, as discussed below.

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