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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JOURNAL FREE ACCESS

1997 Volume 49 Issue 4 Pages 633-646

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

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Published: 1997 Received: April 26, 1995 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 : 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.

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