Andreotti–Grauert theorem
= Andreotti–Grauert theorem
{wiki=Andreotti–Grauert_theorem}
The Andreotti–Grauert theorem is a result in complex geometry and several complex variables. It addresses the properties of complex spaces and certain types of submanifolds known as complex manifolds. The theorem specifically relates to the existence of holomorphic (complex-analytic) functions on compact complex manifolds.