partial derivative partial derivative-problem on weakly 1-complete Kahler manifolds

Authors
Kazama, H Takayama, S
Citation
H. Kazama et S. Takayama, partial derivative partial derivative-problem on weakly 1-complete Kahler manifolds, NAG MATH J, 155, 1999, pp. 81-94
Citations number
14
Categorie Soggetti
Mathematics
Journal title
NAGOYA MATHEMATICAL JOURNAL
ISSN journal
00277630 → ACNP
Volume
155
Year of publication
1999
Pages
81 - 94
Database
ISI
SICI code
0027-7630(199909)155:<81:PDPDOW>2.0.ZU;2-6
Abstract
We consider a problem whether Kodaira's aa-lemma holds on weakly 1-complete Kahler manifolds or not. This problem was proposed by S. Nakano. We prove that the Lemma holds far some class of complex quasitori C-n/Gamma, and it does not hold for the other class of them. Every complex quasi-tori is weak ly 1-complete and complete Kahler. Then we get a negative answer for the ab ove problem.