On toroidal groups

Yukitaka ABE

doi:10.2969/jmsj/04140699

On toroidal groups

Yukitaka ABE

著者情報

ジャーナルフリー

1989 年 41 巻 4 号 p. 699-708

DOI https://doi.org/10.2969/jmsj/04140699

詳細

Published: 1989 Received: 1987/10/07 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) Y. Abe, (H, C)-groups with positive line bundles, Nagoya Math. J., 107 (1987), 1-11.
2) Y. Abe, Elliptic differential operators with respect to a subbundle of the tangent bundle, Math. Rep. Toyama Univ., 10 (1987), 107-126.
3) Y. Abe, Holomorphic sections of line bundles over (H, C)-groups, Manuscripta Math., 60 (1988), 379-385.
4) F. Gherardelli and A. Andreotti, Some remarks on quasi-abelian manifolds, Global analysis and its applications, Vol. II, Intern. Atomic Energy Agency, Vienna, 1974, pp. 203-206.
5) H. Grauert and R. Remmert, Über kompakte homogene komplexe Mannigfaltigkeiten, Arch. Math. (Basel), 13 (1962), 498-507.
6) A. Hefez, On periodic meromorphic functions on Cⁿ, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 64 (1978), 255-259.
7) A. T. Huckleberry and G. A. Margulis, Invariant analytic hypersurfaces, Invent. Math., 71 (1983), 235-240.
8) A. T. Huckleberry and D. Snow, Pseudoconcave homogeneous manifolds, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 7 (1980) , 29-54.
9) H. Kazama, On pseudoconvexity of complex abelian Lie groups, J. Math. Soc. Japan, 25 (1973), 329-333.
10) H. Kazama, ∂ cohomology of (H, C)-groups, Publ. R. I. M. S., Kyoto Univ., 20 (1984), 297-317.
11) K. Kopfermann, Maximal Untergruppen Abelscher komplexer Liescher Gruppen, Schr. Math. Inst. Univ. Münster, 29 (1964).
12) A. Morimoto, Non-compact complex Lie groups without non-constant holomorphic functions, Proc. of the Conf. on Complex Analysis at Univ. of Minn., Springer, 1965, pp. 256-272.
13) J. Morrow and K. Kodaira, Complex manifolds, Rinehart, New York, 1971.
14) S. Nakano, Several complex variables (in Japanese), Asakura Shoten, Tokyo, 1982.
15) S. Nakano and T.-S. Rhai, An attempt towards the global projective embedding of pseudoconvex manifolds, Chinese J. Math., 7 (1979), 47-54.
16) G. Pothering, Meromorphic function fields of non-compact Cⁿ/Γ, Thesis, Univ. of Notre Dame, 1977.
17) Ch. Vogt, Line bundles on toroidal groups, J. Reine Angew. Math., 335 (1982), 197-215.
18) Ch. Vogt, Two remarks concerning toroidal groups, Manuscripta Math., 41 (1983), 217-232.

Right : [1] Y. Abe, (H, C)-groups with positive line bundles, Nagoya Math. J., 107 (1987), 1-11.
[2] Y. Abe, Elliptic differential operators with respect to a subbundle of the tangent bundle, Math. Rep. Toyama Univ., 10 (1987), 107-126.
[3] Y. Abe, Holomorphic sections of line bundles over (H, C)-groups, Manuscripta Math., 60 (1988), 379-385.
[4] F. Gherardelli and A. Andreotti, Some remarks on quasi-abelian manifolds, Global analysis and its applications, Vol. II, Intern. Atomic Energy Agency, Vienna, 1974, pp. 203-206.
[5] H. Grauert and R. Remmert, Über kompakte homogene komplexe Mannigfaltigkeiten, Arch. Math. (Basel), 13 (1962), 498-507.
[6] A. Hefez, On periodic meromorphic functions on Cⁿ, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 64 (1978), 255-259.
[7] A. T. Huckleberry and G. A. Margulis, Invariant analytic hypersurfaces, Invent. Math., 71 (1983), 235-240.
[8] A. T. Huckleberry and D. Snow, Pseudoconcave homogeneous manifolds, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 7 (1980), 29-54.
[9] H. Kazama, On pseudoconvexity of complex abelian Lie groups, J. Math. Soc. Japan, 25 (1973), 329-333.
[10] H. Kazama, ∂ cohomology of (H, C)-groups, Publ. R. I. M. S., Kyoto Univ., 20 (1984), 297-317.
[11] K. Kopfermann, Maximal Untergruppen Abelscher komplexer Liescher Gruppen, Schr. Math. Inst. Univ. Münster, 29 (1964).
[12] A. Morimoto, Non-compact complex Lie groups without non-constant holomorphic functions, Proc. of the Conf. on Complex Analysis at Univ. of Minn., Springer, 1965, pp. 256-272.
[13] J. Morrow and K. Kodaira, Complex manifolds, Rinehart, New York, 1971.
[14] S. Nakano, Several complex variables (in Japanese), Asakura Shoten, Tokyo, 1982.
[15] S. Nakano and T. -S. Rhai, An attempt towards the global projective embedding of pseudoconvex manifolds, Chinese J. Math., 7 (1979), 47-54.
[16] G. Pothering, Meromorphic function fields of non-compact Cⁿ/Γ, Thesis, Univ. of Notre Dame, 1977.
[17] Ch. Vogt, Line bundles on toroidal groups, J. Reine Angew. Math., 335 (1982), 197-215.
[18] Ch. Vogt, Two remarks concerning toroidal groups, Manuscripta Math., 41 (1983), 217-232.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

責任著者(Corresponding author)

訂正情報

J-STAGEへの登録はこちら（無料）