On the structure of polarized manifolds with total deficiency one, I

Takao FUJITA

doi:10.2969/jmsj/03240709

Takao FUJITA

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ジャーナルフリー

1980 年 32 巻 4 号 p. 709-725

DOI https://doi.org/10.2969/jmsj/03240709

詳細

Published: 1980 Received: 1979/01/23 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 : 1) M. F. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc., (3) 7 (1957), 414-452.
2) N. Bourbaki, Groupes et algèbres de Lie, Paris, Herman, 1968.
3) P. Deligne, Théorie de Hodge, Publ. Math. I. H. E. S., 40 (1972), 5-57.
4) T. Fujita, On the structure of certain types of polarized varieties I & II, Proc. Japan Acad., 49 (1973), 800-802 & 50 (1974), 411-412.
5) T. Fujita, On the structure of polarized varieties with Δ-genera zero, J. Fac. Sci. Univ. Tokyo, 22 (1975), 103-115.
6) T. Fujita, Defining equations for certain types of polarized varieties, Complex Analysis and Algebraic Geometry, Tokyo, Iwanami, 1977.
7) T. Fujita, On the hyperplane section principle of Lefschetz, J. Math. Soc. Japan, 32 (1980), 153-169.
8) T. Fujita, Defining equations for certain types of polarized varieties over a field of positive characteristic, in preparation.
9) A. Grothendieck, Eléments de géométrie algébrique, Publ. Math. I. H. E. S., 4, 8, 11, 17,….
10) R. Hartshorne, Ample subvarieties of algebraic varieties, Lecture Notes in Math., 156, Springer, 1970.
11) R. Hartshorne, Ample vector bundles, Publ. Math. I. H. E. S., 29 (1966), 63-94.
12) F. Hirzebruch, Neue Topologische Methoden in der Algebraische Geometrie, Spinger-Verlag, Berlin, 1962.
13) K. Kodaira and J. Morrow, Complex Manifolds, Holt, Rinehart & Winston, New York, 1971.
14) K. Kodaira and D. C. Spencer, A theorem of completeness of characteristic systems of complete continuous systems, Amer. J. Math., 81 (1959), 477-500.
15) C. P. Ramanujam, Remarks on the Kodaira vanishing theorem, J. Indian Math. Soc., 36 (1972), 41-51.
16) I. R. Safarevic et al., Algebraic Surfaces, Proc. Steklov Inst., Moscow, 1965.
17) A. J. Sommese, On manifolds that cannot be ample divisors, Math. Ann., 221 (1976), 55-72.
18) H. Tango, On (n-1)-dimensional projective spaces contained in the Grassmann variety Gr (n, 1), J. Math. Kyoto Univ., 14 (1974), 415-459.
19) J. Wavrik, Deformations of branched coverings of complex manifolds, Amer. J. Math., 90 (1968), 926-960.

Right : [1] M. F. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc., (3) 7 (1957), 414-452.
[2] N. Bourbaki, Groupes et algèbres de Lie, Paris, Herman, 1968.
[3] P. Deligne, Théorie de Hodge, Publ. Math. I. H. E. S., 40 (1972), 5-57.
[4] T. Fujita, On the structure of certain types of polarized varieties I & II, Proc. Japan Acad., 49 (1973), 800-802 & 50 (1974), 411-412.
[5] T. Fujita, On the structure of polarized varieties with Δ-genera zero, J. Fac. Sci. Univ. Tokyo, 22 (1975), 103-115.
[6] T. Fujita, Defining equations for certain types of polarized varieties, Complex Analysis and Algebraic Geometry, Tokyo, Iwanami, 1977.
[7] T. Fujita, On the hyperplane section principle of Lefschetz, J. Math. Soc. Japan, 32 (1980), 153-169.
[8] T. Fujita, Defining equations for certain types of polarized varieties over a field of positive characteristic, in preparation.
[9] A. Grothendieck, Eléments de géométrie algébrique, Publ. Math. I. H. E. S., 4, 8, 11, 17,….
[10] R. Hartshorne, Ample subvarieties of algebraic varieties, Lecture Notes in Math., 156, Springer, 1970.
[11] R. Hartshorne, Ample vector bundles, Publ. Math. I. H. E. S., 29 (1966), 63-94.
[12] F. Hirzebruch, Neue Topologische Methoden in der Algebraische Geometrie, Spinger-Verlag, Berlin, 1962.
[13] K. Kodaira and J. Morrow, Complex Manifolds, Holt, Rinehart & Winston, New York, 1971.
[14] K. Kodaira and D. C. Spencer, A theorem of completeness of characteristic systems of complete continuous systems, Amer. J. Math., 81 (1959), 477-500.
[15] C. P. Ramanujam, Remarks on the Kodaira vanishing theorem, J. Indian Math. Soc., 36 (1972), 41-51.
[16] I. R. Safarevic et al., Algebraic Surfaces, Proc. Steklov Inst., Moscow, 1965.
[17] A. J. Sommese, On manifolds that cannot be ample divisors, Math. Ann., 221 (1976), 55-72.
[18] H. Tango, On (n-1)-dimensional projective spaces contained in the Grassmann variety Gr (n, 1), J. Math. Kyoto Univ., 14 (1974), 415-459.
[19] J. Wavrik, Deformations of branched coverings of complex manifolds, Amer. J. Math., 90 (1968), 926-960.

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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