A remark on the Kawamata rationality theorem

Mauro C. BELTRAMETTI; Andrew J. SOMMESE

doi:10.2969/jmsj/04530557

Mauro C. BELTRAMETTI, Andrew J. SOMMESE

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ジャーナルフリー

1993 年 45 巻 3 号 p. 557-568

DOI https://doi.org/10.2969/jmsj/04530557

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Published: 1993 Received: 1991/12/24 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 : [BS1] M. Beltrametti and A.J. Sommese, On the adjunction theoretic classification of polarized varieties, J. Reine. Angew. Math., 427 (1992), 157-192.
[BS2] M. Beltrametti and A. J. Sommese, Comparing the classical and the adjunction theoretic definition of scrolls, to appear in the Cetraro Proceedings, Editel.
[BSW] M. Beltrametti, A.J. Sommese and J.A. Wisniewski, Results on varieties with many lines and their application to adjunction theory, with an appendix by M. Beltrametti, A.J. Sommese, Proceedings of the 1990 Bayreuth Conference on Complex Geometry, Lecture Notes in Math., 1507, Springer, 1992, pp. 16-38.
[I] S. Iitaka, Algebraic Geometry, An Introduction to Birational Geometry of Algebraic Varieties, G.T.M., 76, Springer-Verlag, 1981.
[F] T. Fujita, On polarized manifolds whose adjoint bundles are not semipositive, Algebraic Geometry, Sendai., 1985, Adv. Stud. in Pure Math., 10 (1987), 167-178.
[Io] P. Ionescu, Generalized adjunction and applications, Math. Proc. Cambridge Philos. Soc., 99 (1986), 457-472.
[KMM] Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model problem, Algebraic Geometry, Sendai, 1985, Adv. Stud. in Pure Math., 10 (1987), 238-360.
[Ma] H. Maeda, Ramification divisors for branched coverings of Pⁿ, Math. Ann., 288 (1990), 195-199.
[M] S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math., 116 (1982), 133-176.
[W] J.A. Wisniewski, On contractions of extremal rays of Fano manifolds, J. Reine Angew. Math., 417 (1991), 141-157.

Right : [BS1] M. Beltrametti and A. J. Sommese, On the adjunction theoretic classification of polarized varieties, J. Reine. Angew. Math., 427 (1992), 157-192.
[BS2] M. Beltrametti and A. J. Sommese, Comparing the classical and the adjunction theoretic definition of scrolls, to appear in the Cetraro Proceedings, Editel.
[BSW] M. Beltrametti, A. J. Sommese and J. A. Wisniewski, Results on varieties with many lines and their application to adjunction theory, with an appendix by M. Beltrametti, A. J. Sommese, Proceedings of the 1990 Bayreuth Conference on Complex Geometry, Lecture Notes in Math., 1507, Springer, 1992, pp. 16-38.
[I] S. Iitaka, Algebraic Geometry, An Introduction to Birational Geometry of Algebraic Varieties, G. T. M., 76, Springer-Verlag, 1981.
[F] T. Fujita, On polarized manifolds whose adjoint bundles are not semipositive, Algebraic Geometry, Sendai., 1985, Adv. Stud. in Pure Math., 10 (1987), 167-178.
[Io] P. Ionescu, Generalized adjunction and applications, Math. Proc. Cambridge Philos. Soc., 99 (1986), 457-472.
[KMM] Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model problem, Algebraic Geometry, Sendai, 1985, Adv. Stud. in Pure Math., 10 (1987), 238-360.
[Ma] H. Maeda, Ramification divisors for branched coverings of Pⁿ, Math. Ann., 288 (1990), 195-199.
[M] S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math., 116 (1982), 133-176.
[W] J. A. Wisniewski, On contractions of extremal rays of Fano manifolds, J. Reine Angew. Math., 417 (1991), 141-157.

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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