On the classification of the third reduction with a spectral value condition

Shu NAKAMURA

doi:10.2969/jmsj/04940633

Shu NAKAMURA

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ジャーナルフリー

1997 年 49 巻 4 号 p. 633-646

DOI https://doi.org/10.2969/jmsj/04940633

詳細

Published: 1997 Received: 1995/04/26 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 : AK) A. Altman and S. Kleiman, Introduction to Grothendieck Duality Theory, Lecture Notes in Math., 146, Springer, 1970.
BS1) M. C. Beltrametti and A. J. Sommese, On the adjunction theoretic classification of polarized varieties, J. reine angew. Math., 427 (1992), 157-192.
BS2) M. C. Beltrametti and A. J. Sommese, Some effects of the spectral values on reductions, Algebraic Geometry Conference, 1992 L'Aquila, Classification of Algebraic Varieties, Contemporary Math., 162 (1992), 31-48.
Fj1) T. Fujita, Classification Theories of Polarized Varieties, London Math. Soc. Lect. Note Ser. 155, Cambridge University Press, 1990.
Fj2) T. Fujita, On Kodaira energy and adjoint reduction of polarized manifolds, Manuscr. Math., 76 (1992), 59-84.
Ha) R. Hartshorne, Algebraic Geometry, Springer, 1977.
KMM) Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model problem, Algebraic Geometry, Sendai, 1985, Adv. Stud. Pure Math., 10 (1987), 283-360.
Mo) S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math., 116 (1982), 133-176.
Na1) S. Nakamura, On the third ad joint contractions, J. reine angew. Math., 467 (1995), 51-65.
Na2) S. Nakamura, A quadric criterion for the existence of a non-trivial section of adjoint systems, Preprint (1994).
Na3) S. Nakamura, The classification of the third reductions with a spectral value condition, University of Notre Dame, Ph.D thesis, 1995.
So) A. J. Sommese, On the adjunction theoretic structure of projective varieties, Complex Analysis and Algebraic Geometry, Proceedings Göttingen, 1985, Lecture Notes in Math., 1194 (1986), 175-213.

Right : [AK] A. Altman and S. Kleiman, Introduction to Grothendieck Duality Theory, Lecture Notes in Math., 146, Springer, 1970.
[BS1] M. C. Beltrametti and A. J. Sommese, On the adjunction theoretic classification of polarized varieties, J. reine angew. Math., 427 (1992), 157-192.
[BS2] M. C. Beltrametti and A. J. Sommese, Some effects of the spectral values on reductions, Algebraic Geometry Conference, 1992 L'Aquila, Classification of Algebraic Varieties, Contemporary Math., 162 (1992), 31-48.
[Fj1] T. Fujita, Classification Theories of Polarized Varieties, London Math. Soc. Lect. Note Ser. 155, Cambridge University Press, 1990.
[Fj2] T. Fujita, On Kodaira energy and adjoint reduction of polarized manifolds, Manuscr. Math., 76 (1992), 59-84.
[Ha] R. Hartshorne, Algebraic Geometry, Springer, 1977.
[KMM] Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model problem, Algebraic Geometry, Sendai, 1985, Adv. Stud. Pure Math., 10 (1987), 283-360.
[Mo] S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math., 116 (1982), 133-176.
[Na1] S. Nakamura, On the third adjoint contractions, J. reine angew. Math., 467 (1995), 51-65.
[Na2] S. Nakamura, A quadric criterion for the existence of a non-trivial section of adjoint systems, Preprint (1994).
[Na3] S. Nakamura, The classification of the third reductions with a spectral value condition, University of Notre Dame, Ph.D thesis, 1995.
[So] A. J. Sommese, On the adjunction theoretic structure of projective varieties, Complex Analysis and Algebraic Geometry, Proceedings Göttingen, 1985, Lecture Notes in Math., 1194 (1986), 175-213.

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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