A new proof of the Grauert direct image theorem
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- by R. Levy PDF
- Proc. Amer. Math. Soc. 99 (1987), 535-542 Request permission
Abstract:
A new proof of the Grauert direct image theorem based on methods of functional analysis is given.References
- Hans Grauert, Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen, Inst. Hautes Études Sci. Publ. Math. 5 (1960), 64 (German). MR 121814
- O. Forster and K. Knorr, Ein Beweis des Grauertschen Bildgarbensatzes nach Ideen von B. Malgrange, Manuscripta Math. 5 (1971), 19–44 (German, with English summary). MR 308437, DOI 10.1007/BF01397607
- Joseph L. Taylor, A joint spectrum for several commuting operators, J. Functional Analysis 6 (1970), 172–191. MR 0268706, DOI 10.1016/0022-1236(70)90055-8
- Hans Grauert and Reinhold Remmert, Theory of Stein spaces, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 236, Springer-Verlag, Berlin-New York, 1979. Translated from the German by Alan Huckleberry. MR 580152
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 535-542
- MSC: Primary 32C35; Secondary 32C15, 46G20, 46M20
- DOI: https://doi.org/10.1090/S0002-9939-1987-0875393-5
- MathSciNet review: 875393