Grauert–Riemenschneider vanishing theorem

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; Riemenschneider, Oswald (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 This abstract algebra-related article is a stub. You can help Wikipedia by expanding it.

Categories: Theorems in algebraic geometryAbstract algebra stubs