Moišezon spaces and positive coherent sheaves

Rabinowitz, Joshua H.

doi:10.1090/S0002-9939-1978-0486667-9

Moišezon spaces and positive coherent sheaves
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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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