<p>Takayama’s results generalizing Kodaira’s embedding theorem and Grauert’s theorem on the holomorphic convexity of strongly pseudoconvex manifolds are generalized for weakly 1-complete manifolds. Related results on “locally pseudoconvex domains of regular type” will be reported, too.</p>

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Notes on the extension of Grauert’s solution of the Levi problem to weakly pseudoconvex domains

  • Takeo Ohsawa

摘要

Takayama’s results generalizing Kodaira’s embedding theorem and Grauert’s theorem on the holomorphic convexity of strongly pseudoconvex manifolds are generalized for weakly 1-complete manifolds. Related results on “locally pseudoconvex domains of regular type” will be reported, too.