no. 5
The Bochner-Hartogs dichotomy for weakly 1-complete Kähler manifolds
Annales de l'Institut Fourier, Tome 47 (1997) no. 5, pp. 1345-1365.

On démontre que si M est une variété kählérienne faiblement 1-complète avec un seul bout, alors H c 1 (M,𝒪)=0 ou bien il existe une application holomorphe propre de M sur une surface de Riemann.

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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     author = {Napier, Terence and Ramachandran, Mohan},
     title = {The {Bochner-Hartogs} dichotomy for weakly 1-complete {K\"ahler} manifolds},
     journal = {Annales de l'Institut Fourier},
     pages = {1345--1365},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {47},
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     year = {1997},
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Napier, Terence; Ramachandran, Mohan. The Bochner-Hartogs dichotomy for weakly 1-complete Kähler manifolds. Annales de l'Institut Fourier, Tome 47 (1997) no. 5, pp. 1345-1365. doi : 10.5802/aif.1602. https://aif.centre-mersenne.org/articles/10.5802/aif.1602/

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