On Kähler fiber spaces over curves

Takao FUJITA

doi:10.2969/jmsj/03040779

Takao FUJITA

Author information

JOURNAL FREE ACCESS

1978 Volume 30 Issue 4 Pages 779-794

DOI https://doi.org/10.2969/jmsj/03040779

Details

Published: 1978 Received: August 30, 1977 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 0) F. A. Bogomolov, Kähler manifolds with trivial canonical class, Izv. Akad. Nauk SSSR 38 (1974), 11-21. English translation: Math. USSR Izv., 8 (1974), 9-20.
1) P. Deligne, Théorie de Hodge II, Inst. Hautes Études Sci. Publ. Math., 40 (1972), 5-57.
2) T. Fujita, Some remarks on Kodaira dimensions of fiber spaces, Proc. Japan Acad., 53 (1977), 28-30.
3) P. Griffiths, Periods of integrals on algebraic manifolds I and II, Amer. J. Math., 90 (1968), 568-626 and 805-865.
4) P. Griffiths, Periods of integrals on algebraic manifolds III, Inst. Hautes Études Sci. Publ. Math. 38 (1970), 125-180.
5) A. Grothendieck, Éléments de geométrie algébrique, Inst. Hautes Études Publ. Math., 4,8,11,17,
6) A. Grothendieck, Séminaire de geométrie algébrique 1962, Inst. Hautes Études Sci. Publ. Math., 1966.
7) R. Hartshorne, Residue and Duality, Lecture Notes in Math., 20, Springer, 1966.
8) R. Hartshorne, Ample Subvarieties of Algebraic Varieties, Lecture Notes in Math., 156, Springer, 1970.
9) H. Hironaka, Resolution of singularities of an algebraic variety defined over a field of characteristic zero I and II, Ann. Math., 79 (1964), 109-326.
9a) H. Hironaka, Bimeromorphic smoothing of a complex analytic space, Reprint, Univ. of Warwick, 1971.
10) S. Iitaka, On D-dimensions of algebraic varieties, J. Math. Soc. Japan, 23 (1971), 356-373.
11) K. Kodaira and J. Morrow, Complex Manifolds, Holt, Rinehalt and Winston, New York, 1971.
12) Y. Matsushima, Holomorphic Vector Fields on Compact Kähler Manifolds, Conf. Board. Math. Sci. Regional Conf. 7, Amer. Math. Sci., 1971.
13) D. Mumford, Abelian varieties, Oxford Univ. Press, London, 1970.
14) J. P. Ramis and G. Ruget, Complexe dualisant et theoremes de dualite en geometrie analytique complexe, Inst. Hautes Études Sci. Publ Math., 38 (1970), 77-91.
15) J. P. Ramis, G. Ruget and J. L. Verdier, Dualite relative en geometrie analytique complexe, Invent. Math., 13 (1971), 261-283. 794 T. FUJITA
16) K. Ueno, Classification theory of algebraic varieties and compact complex spaces, Lecture Notes in Math., 439, Springer, 1975.
17) K. Ueno, On algebraic threefolds of parabolic type, Proc. Japan Acad., 52 (1977), 541-543.
17a) K. Ueno, Classification of algebraic varieties II -algebraic threefolds of parabolic type-, to appear in the Proceedings of the Kyoto Conference 1977.
18) E. Viehweg, Canonical divisors and the additivity of the Kodaira dimensions for morphisms of relative dimension one, to appear in Compositio Math.

Right : [0] F. A. Bogomolov, Kähler manifolds with trivial canonical class, Izv. Akad. Nauk SSSR 38 (1974), 11-21. English translation: Math. USSR Izv., 8 (1974), 9-20.
[1] P. Deligne, Théorie de Hodge II, Inst. Hautes Études Sci. Publ. Math., 40 (1972), 5-57.
[2] T. Fujita, Some remarks on Kodaira dimensions of fiber spaces, Proc. Japan Acad., 53 (1977), 28-30.
[3] P. Griffiths, Periods of integrals on algebraic manifolds I and II, Amer. J. Math., 90 (1968), 568-626 and 805-865.
[4] P. Griffiths, Periods of integrals on algebraic manifolds III, Inst. Hautes Études Sci. Publ. Math. 38 (1970), 125-180.
[5] A. Grothendieck, Éléments de géométrie algébrique, Inst. Hautes Études Publ. Math., 4,8,11,17,
[6] A. Grothendieck, Séminaire de géométrie algébrique 1962, Inst. Hautes Études Sci. Publ. Math., 1966.
[7] R. Hartshorne, Residue and Duality, Lecture Notes in Math., 20, Springer, 1966.
[8] R. Hartshorne, Ample Subvarieties of Algebraic Varieties, Lecture Notes in Math., 156, Springer, 1970.
[9] H. Hironaka, Resolution of singularities of an algebraic variety defined over a field of characteristic zero I and II, Ann. Math., 79 (1964), 109-326.
[9a] H. Hironaka, Bimeromorphic smoothing of a complex analytic space, Reprint, Univ. of Warwick, 1971.
[10] S. Iitaka, On D-dimensions of algebraic varieties, J. Math. Soc. Japan, 23 (1971), 356-373.
[11] K. Kodaira and J. Morrow, Complex Manifolds, Holt, Rinehalt and Winston, New York, 1971.
[12] Y. Matsushima, Holomorphic Vector Fields on Compact Kähler Manifolds, Conf. Board. Math. Sci. Regional Conf. 7, Amer. Math. Sci., 1971.
[13] D. Mumford, Abelian varieties, Oxford Univ. Press, London, 1970.
[14] J. P. Ramis and G. Ruget, Complexe dualisant et theoremes de dualite en geometrie analytique complexe, Inst. Hautes Études Sci. Publ Math., 38 (1970), 77-91.
[15] J. P. Ramis, G. Ruget and J. L. Verdier, Dualite relative en geometrie analytique complexe, Invent. Math., 13 (1971), 261-283.
[16] K. Ueno, Classification theory of algebraic varieties and compact complex spaces, Lecture Notes in Math., 439, Springer, 1975.
[17] K. Ueno, On algebraic threefolds of parabolic type, Proc. Japan Acad., 52 (1977), 541-543.
[17a] K. Ueno, Classification of algebraic varieties II -algebraic threefolds of parabolic type-, to appear in the Proceedings of the Kyoto Conference 1977.
[18] E. Viehweg, Canonical divisors and the additivity of the Kodaira dimensions for morphisms of relative dimension one, to appear in Compositio Math.

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

Corresponding author

Correction information

Register with J-STAGE for free!