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The Bochner-Hartogs dichotomy for weakly 1-complete Kähler manifolds

Terence Napier; Mohan Ramachandran — 1997

Annales de l'institut Fourier

It is proved that if $M$ is a weakly 1-complete Kähler manifold with only one end, then $H_{c}^{1} (M, 𝒪) = 0$ or there exists a proper holomorphic mapping of $M$ onto a Riemann surface.

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