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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JOURNAL FREE ACCESS

1993 Volume 45 Issue 3 Pages 557-568

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

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Published: 1993 Received: December 24, 1991 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: 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.

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