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In mathematics, the Grauert–Riemenschneider vanishing theorem is an extension of the Kodaira vanishing theorem on the vanishing of higher cohomology groups of coherent sheaves on a compact complex manifold, due to Grauert and Riemenschneider (1970).

References

Grauert, Hans; Riemenschneider, Oswald (1970), "Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen", Several Complex Variables, I (Proc. Conf., Univ. of Maryland, College Park, Md., 1970) 155, Berlin, New York: Springer-Verlag, pp. 97–109, doi:10.1007/BFb0060317, MR 0273066
Grauert, Hans; Riemenschneider, Oswald (1970), "Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen", Inventiones Mathematicae 11: 263–292, doi:10.1007/BF01403182, ISSN 0020-9910, MR 0302938

Mathematics Encyclopedia

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