Grauert–Riemenschneider vanishing theorem
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; (1970), "Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen", Several Complex Variables, I (Proc. Conf., Univ. of Maryland, College Park, Md., 1970), Lecture Notes in Mathematics, vol. 155, Berlin, New York: Springer-Verlag, pp. 97–109, doi:10.1007/BFb0060317, ISBN 978-3-540-05183-1, MR 0273066
- Grauert, Hans; Riemenschneider, Oswald (1970), "Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen", Inventiones Mathematicae, 11: 263–292, Bibcode:1970InMat..11..263G, doi:10.1007/BF01403182, ISSN 0020-9910, MR 0302938, S2CID 115238607
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