On pseudoconvexity of complex abelian Lie groups

Hideaki KAZAMA

doi:10.2969/jmsj/02520329

Hideaki KAZAMA

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1973 Volume 25 Issue 2 Pages 329-333

DOI https://doi.org/10.2969/jmsj/02520329

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Published: 1973 Received: March 25, 1972 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. Andreotti and H. Grauert, Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France, 90 (1962), 193-259.
2) H. Grauert, Une notion de dimension cohomologique dans la théorie des espaces complexes, Bull. Soc. Math. France, 87 (1959), 341-350.
3) H. Grauert, Bemerkenswerte pseudokonvexe Mannigfaltigkeiten, Math. Zeit., 81 (1963), 377-391.
4) H. Kazama, q-Complete complex Lie groups and holomorphic fibre bundles over a Stein manifold, Mem. Fac. Sci. Kyushu Univ., 26 (1971), 102-118.
5) A. Morimoto, Non-compact complex Lie groups without non-constant holomorphic functions, Proc. Conf. on Complex Analysis at Univ. of Minneapolis, 1965, 256-272.
6) A. Morimoto, On the classification of non-compact complex abelian Lie groups, Trans. Amer. Math. Soc., 123 (1966), 200-228.

Right : [1] A. Andreotti and H. Grauert, Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France, 90 (1962), 193-259.
[2] H. Grauert, Une notion de dimension cohomologique dans la théorie des espaces complexes, Bull. Soc. Math. France, 87 (1959), 341-350.
[3] H. Grauert, Bemerkenswerte pseudokonvexe Mannigfaltigkeiten, Math. Zeit., 81 (1963), 377-391.
[4] H. Kazama, q-Complete complex Lie groups and holomorphic fibre bundles over a Stein manifold, Mem. Fac. Sci. Kyushu Univ., 26 (1971), 102-118.
[5] A. Morimoto, Non-compact complex Lie groups without non-constant holomorphic functions, Proc. Conf. on Complex Analysis at Univ. of Minneapolis, 1965, 256-272.
[6] A. Morimoto, On the classification of non-compact complex abelian Lie groups, Trans. Amer. Math. Soc., 123 (1966), 200-228.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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