= Andreotti–Vesentini theorem
{wiki=Andreotti–Vesentini_theorem}
The Andreotti–Vesentini theorem is a result in complex geometry concerning the compactness and structure of certain types of complex analytic spaces, particularly in the context of complex manifolds and their cohomological properties. More specifically, it deals with the conditions under which a certain class of complex manifolds (often those with some form of controlled singularities or specific types of curvature) can be compactified or embedded in projective space.
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