In mathematics, the Andreotti–Grauert theorem, introduced by , gives conditions for
cohomology group
In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated with a topological space, often defined from a cochain complex. Cohomology can be viewed ...
s of
coherent sheaves
In mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaves are a class of sheaves closely linked to the geometric properties of the underlying space. The definition of coherent sheaves is made with refer ...
over
complex manifolds to vanish or to be finite-dimensional.
References
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Complex manifolds
Theorems in abstract algebra
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