Theorems of Bertini type for certain types of polarized manifolds

Takao FUJITA

doi:10.2969/jmsj/03440709

Takao FUJITA

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JOURNAL FREE ACCESS

1982 Volume 34 Issue 4 Pages 709-718

DOI https://doi.org/10.2969/jmsj/03440709

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Published: 1982 Received: July 11, 1981 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 : [F1] T. Fujita, On the Δ-genera of polarized varieties (in Japanese), Master Thesis, Univ. of Tokyo, 1974.
[F2] T. Fujita, On the structure of polarized varieties with Δ-genera zero, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 22 (1975), 103-115.
[F3] T. Fujita, Defining equations for certain types of polarized varieties, Complex analysis and algebraic geometry, 165-173, Iwanami, 1977.
[F4] T. Fujita, On the hyperplane section principle of Lefschetz, J. Math. Soc. Japan, 32 (1980), 153-169.
[F5] T. Fujita, On the structure of polarized manifolds with total deficiency one, I, J. Math. Soc. Japan, 32 (1980), 709-725.
[Ha 1] R. Hartshorne, Ample subvarieties of algebraic varieties, Lecture Notes in Math., 156, Springer, 1970.
[Ha 2] R. Hartshorne, Algebraic geometry, Grad. Text in Math., 52, Springer, 1977.
[Hi] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero I-II, Ann, of Math., 79 (1964), 109-326.
[K] S. Kleiman, Towards a numerical theory of ampleness, Ann. of Math., 84 (1966), 293-344.
[N] Y. Nakai, A criterion of an ample sheaf on a projective scheme, Amer. J. Math., 85 (1963), 14-26.

Right : [F1] T. Fujita, On the Δ-genera of polarized varieties (in Japanese), Master Thesis, Univ. of Tokyo, 1974.
[F2] T. Fujita, On the structure of polarized varieties with Δ-genera zero, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 22 (1975), 103-115.
[F3] T. Fujita, Defining equations for certain types of polarized varieties, Complex analysis and algebraic geometry, 165-173, Iwanami, 1977.
[F4] T. Fujita, On the hyperplane section principle of Lefschetz, J. Math. Soc. Japan, 32 (1980), 153-169.
[F5] T. Fujita, On the structure of polarized manifolds with total deficiency one, I, J. Math. Soc. Japan, 32 (1980), 709-725.
[Ha 1] R. Hartshorne, Ample subvarieties of algebraic varieties, Lecture Notes in Math., 156, Springer, 1970.
[Ha 2] R. Hartshorne, Algebraic geometry, Grad. Text in Math., 52, Springer, 1977.
[Hi] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero I-II, Ann. of Math., 79 (1964), 109-326.
[K] S. Kleiman, Towards a numerical theory of ampleness, Ann. of Math., 84 (1966), 293-344.
[N] Y. Nakai, A criterion of an ample sheaf on a projective scheme, Amer. J. Math., 85 (1963), 14-26.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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