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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
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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