Holomorphic maps of projective algebraic manifolds into compact C-hyperbolic manifolds

Yoichi IMAYOSHI

doi:10.2969/jmsj/04620289

Yoichi IMAYOSHI

著者情報

ジャーナルフリー

1994 年 46 巻 2 号 p. 289-307

DOI https://doi.org/10.2969/jmsj/04620289

詳細

Published: 1994 Received: 1992/10/15 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: 論文サブタイトル訂正内容: Wrong : Dedicated to Professor Nobuyuki Suita on his 60th birthday

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) A. Borel and R. Narasimhan, Uniqueness conditions for certain holomorphic mappings, Invent. Math., 2 (1967), 247-255.
2) A. Douady, Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné, Ann. Inst. Fourier (Grenoble), 16 (1966), 1-95.
3) D. Eisenmann, Holomorphic mappings into tight manifolds, Bull. Amer. Math. Soc., 76 (1970), 46-48.
4) H. Grauert and R. Remmert, Theory of Stein Spaces, Springer-Verlag, Berlin, Heiderberg, New York, 1979.
5) P. A. Grifiths and J. Harris, Principles of Algebraic Geometry, John Wiley, New York, 1978.
6) Y. Imayoshi, Generalizations of de Franchis theorem, Duke Math. J., 50 (1983), 393-408.
7) Y. lmayoshi, Universal covering spaces of certain quasi-projective algebraic surfaces, Osaka J. Math., 20 (1983), 581-598.
8) Y. Imayoshi, Holomorphic maps of compact Riemann surfaces into 2-dimensional compact C-hyperbolic manifolds, Math. Ann., 270 (1985), 403-416.
9) M. Kalka, B. Shiffman and B. Wong, Finiteness and rigidity theorems for holomorphic mappings, Michigan Math. J., 28 (1981), 289-295.
10) A. Kas, On deformation of a certain irregular algebraic surfaces, Amer. J. Math., 90 (1968), 789-804.
11) P. J. Kiernan, On the relations between taut, tight and hyperbolic manifolds, Bull. Amer. Math. Soc., 76 (1970), 49-51.
12) S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Dekker, New York, 1970.
13) S. Kobayashi and T. Ochiai, Meromorphic mappings onto compact complex spaces of general type, Invent. Math., 31 (1975), 7-16.
14) K. Kodaira, A certain type of irregular algebraic surfaces, J. Analyse Math., 19 (1967), 207-215.
15) K. Lamotke, The topology of complex projective varieties after S. Lefschetz, Topology, 20 (1981), 15-51.
16) J. Milnor, Morse Theory, Princeton Univ. Press, New Jersey, 1963.
17) R. Narasimhan, Several Complex Variables, The University of Chicago Press, Chicago, 1971.
18) J. Noguchi, Moduli spaces of holomorphic mappings into hyperbolically embedded complex spaces, Invent. Math., 93 (1988), 15-34.
19) J. Noguchi and T. Sunada, Finiteness of the family of rational and meromorphic mappings into algebraic varieties, Amer. J. Math., 104 (1982), 887-900.
20) T. Urata, Holomorphic mappings onto a certain complex analytic space, Tohoku Math. J., 33 (1981), 73-585.
21) H. Whitney, Complex Analytic Varieties, Addison-Wesley, Reading, Massachusetts, 1972.
22) M. G. Zaidenberg and V. Ya Lin, Finiteness theorems for holomorphic maps, in Several Complex Variables III, (ed. G.M. Khenkin), Encyclopaedia of Mathematical Sciences, 9, Springer-Verlag, 1989, pp.113-172.

Right : [1] A. Borel and R. Narasimhan, Uniqueness conditions for certain holomorphic mappings, Invent. Math., 2 (1967), 247-255.
[2] A. Douady, Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné, Ann. Inst. Fourier (Grenoble), 16 (1966), 1-95.
[3] D. Eisenmann, Holomorphic mappings into tight manifolds, Bull. Amer. Math. Soc., 76 (1970), 46-48.
[4] H. Grauert and R. Remmert, Theory of Stein Spaces, Springer-Verlag, Berlin, Heiderberg, New York, 1979.
[5] P. A. Grifiths and J. Harris, Principles of Algebraic Geometry, John Wiley, New York, 1978.
[6] Y. Imayoshi, Generalizations of de Franchis theorem, Duke Math. J., 50 (1983), 393-408.
[7] Y. lmayoshi, Universal covering spaces of certain quasi-projective algebraic surfaces, Osaka J. Math., 20 (1983), 581-598.
[8] Y. Imayoshi, Holomorphic maps of compact Riemann surfaces into 2-dimensional compact C-hyperbolic manifolds, Math. Ann., 270 (1985), 403-416.
[9] M. Kalka, B. Shiffman and B. Wong, Finiteness and rigidity theorems for holomorphic mappings, Michigan Math. J., 28 (1981), 289-295.
[10] A. Kas, On deformation of a certain irregular algebraic surfaces, Amer. J. Math., 90 (1968), 789-804.
[11] P. J. Kiernan, On the relations between taut, tight and hyperbolic manifolds, Bull. Amer. Math. Soc., 76 (1970), 49-51.
[12] S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Dekker, New York, 1970.
[13] S. Kobayashi and T. Ochiai, Meromorphic mappings onto compact complex spaces of general type, Invent. Math., 31 (1975), 7-16.
[14] K. Kodaira, A certain type of irregular algebraic surfaces, J. Analyse Math., 19 (1967), 207-215.
[15] K. Lamotke, The topology of complex projective varieties after S. Lefschetz, Topology, 20 (1981), 15-51.
[16] J. Milnor, Morse Theory, Princeton Univ. Press, New Jersey, 1963.
[17] R. Narasimhan, Several Complex Variables, The University of Chicago Press, Chicago, 1971.
[18] J. Noguchi, Moduli spaces of holomorphic mappings into hyperbolically embedded complex spaces, Invent. Math., 93 (1988), 15-34.
[19] J. Noguchi and T. Sunada, Finiteness of the family of rational and meromorphic mappings into algebraic varieties, Amer. J. Math., 104 (1982), 887-900.
[20] T. Urata, Holomorphic mappings onto a certain complex analytic space, Tôhoku Math. J., 33 (1981), 73-585.
[21] H. Whitney, Complex Analytic Varieties, Addison-Wesley, Reading, Massachusetts, 1972.
[22] M. G. Zaidenberg and V. Ya Lin, Finiteness theorems for holomorphic maps, in Several Complex Variables III, (ed. G. M. Khenkin), Encyclopaedia of Mathematical Sciences, 9, Springer-Verlag, 1989, pp. 113-172.

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

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