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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Moišezon spaces and positive coherent sheaves
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by Joshua H. Rabinowitz PDF
Proc. Amer. Math. Soc. 71 (1978), 237-240 Request permission

Abstract:

In recent papers of Grauert and Riemenschneider, attempts have been made to generalize Kodaira’s embedding theorem to a characterization of Moišezon spaces. In this paper, we define a torsion-free coherent analytic sheaf of generic fiber dimension one as positive if its monoidal transform is positive. We prove: a normal irreducible compact complex space is Moišezon if and only if it carries a positive coherent sheaf of generic fiber dimension one.
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 71 (1978), 237-240
  • MSC: Primary 32J20
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0486667-9
  • MathSciNet review: 0486667