On Moishezon manifolds homeomorphic to Pnc

Iku NAKAMURA

doi:10.2969/jmsj/04440667

On Moishezon manifolds homeomorphic to Pⁿ_c

Iku NAKAMURA

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ジャーナルフリー

1992 年 44 巻 4 号 p. 667-692

DOI https://doi.org/10.2969/jmsj/04440667

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Published: 1992 Received: 1991/11/07 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: 論文タイトル訂正内容: Wrong : On Moishezon manifolds homeomorphic to Pⁿ_C
Right : On Moishezon manifolds homeomorphic to Pⁿ_c

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 Kunihiko Kodaira

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Right : [1] T. Fujita, On the structure of polarized varieties with Δ-genera zero, J. Fac. Sci. Univ. Tokyo, 22 (1975), 103-115.
[2] H. Hironaka, An example of non-Kaehlerian complex-analytic deformation of Kaehleriancomplex structures, Ann. of Math., 75 (1962), 190-208.
[3] F. Hirzebruch and K. Kodaira, On the complex projective spaces, J. Math. Pures Appl., 36 (1957), 201-216.
[4] F. Hirzebruch, Topological methods in algebraic geometry, 3rd ed., Springer,1966.
[5] S. Kleiman, Relative duality for quasi-coherent sheaves, Compositio Math., 41 (1980), 39-60.
[6] S. Kobayashi and T. Ochiai, Characterizations of complex projective spaces and hyperquadrics, J. Math. Kyoto Univ., 13 (1973), 31-47.
[7] K. Kodaira and D. C. Spencer, On deformation of complex structures, II, Ann. ofMath., 67 (1958), 403-466.
[8] J. Kollár, Flips, flops, minimal models, etc., 1990, preprint.
[9] J. Morrow, A survey of some results on complex Kähler manifolds, Global Analysis, Univ. Tokyo Press, 1969, pp. 315-324.
[10] I. Nakamura, Moishezon threefolds homeomorphic to P³, J. Math. Soc. Japan, 39(1987), 521-535.
[11] I. Nakamura, Threefolds homeomorphic to a hyperquadric in P⁴, Algebraic Geometry and Commutative Algebra in Honor of M. Nagata, Kinokuniya, Tokyo, 1987, pp. 379-404.
[12] I. Nakamura, Characterizations of P³ and Hyperquadrics Q³ in P⁴, Proc. Japan Acad., 62A (1986), 230-233.
[13] I. Nakamura, A subadjunction formula and Moishezon fourfolds homeomorphic to P⁴_C, Proc. Japan Acad., 67A (1991), 65-67.
[14] I. Nakamura, Moishezon fourfolds homeomorphic to Q⁴_C, Proc. Japan Acad., 67A (1991), 329-332.
[15] T. Peternell, A rigidity theorem for P₃(C), Manuscripta Math., 50 (1985), 397-428.
[16] T. Peternell, Algebraic structures on certain 3-folds, Math. Ann., 274 (1986), 133-156.
[17] Y. T. Siu, Nondeformability of the complex projective space, J. Reine Angew. Math., 399 (1989), 208-219.
[18] Y. T. Siu, Global nondeformability of the complex projective space, Lectures Notes in Math., 1468, Springer, 1989, pp. 254-280.
[19] K. Ueno, Classification theory of algebraic varieties and compact complex spaces, Lectures Notes in Math., 439, Springer, 1975.
[20] H. Tsuji, Every deformation of Pⁿ is again Pⁿ, unpublished.
[21] S. T. Yau, On Calabi's conjecture and some new results in algebraic geometry, Proc. Nat. Acad. Sci. USA, 74 (1977), 1798-1799.

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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