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In mathematics, the Andreotti–Grauert theorem, introduced by Andreotti and Grauert (1962), gives conditions for cohomology groups of coherent sheaves over complex manifolds to vanish or to be finite-dimensional.


Andreotti, Aldo; Grauert, Hans (1962), "Théorème de finitude pour la cohomologie des espaces complexes", Bulletin de la Société Mathématique de France 90: 193–259, ISSN 0037-9484, MR 0150342

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