Homogeneous hypersurfaces in Kähler C-spaces with b2=1

Kazuhiro KONNO

doi:10.2969/jmsj/04040687

Homogeneous hypersurfaces in Kähler C-spaces with b₂=1

Kazuhiro KONNO

著者情報

ジャーナルフリー

1988 年 40 巻 4 号 p. 687-703

DOI https://doi.org/10.2969/jmsj/04040687

詳細

Published: 1988 Received: 1987/05/28 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: 論文タイトル訂正内容: Wrong : Homogeneous hypersurfaces in Kähler C-spaces with b₂=1
Right : Homogeneous hypersurfaces in Kähler C-spaces with b₂=1

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 所属機関情報訂正内容: 訂正前 :
1) Mathematical Institute Tohoku Univeristy

訂正後 :
1) Mathematical Institute Tôhoku University

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) C. Borcea, Smooth global complete intersections in certain homogeneous complex manifolds, J. Reine Angew. Math., 344 (1983), 65-70.
2) A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces I, Amer. J. Math., 80 (1958), 458-538.
3) A. Borel and R. Remmert, Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Ann., 145 (1962), 429-439.
4) A. Borel and A. Weil, Représentations linéaires et espaces homogènes kählériensdes groups de Lie compacts, Séminaire Bourbaki exp., 100 (1954).
5) R. Bott, Homogeneous vector bundles, Ann. of Math., 66 (1957), 203-248.
6) J. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer, 1972.
7) Y. Kimura, On the hypersurfaces of Hermitian symmetric spaces of compact type, Osaka J. Math., 16 (1979), 97-119, II, Osaka J. Math., 17 (1980), 455-469.
8) Y. Kimura, A hypersurface of the irreducible Hermitian symmetric space of type EIII, Osaka J. Math., 16 (1979), 431-438.
9) Y. Kimura, On the hypersurfaces of Kähler C-spaces, Kobe Shôka-daigaku Jinbunronshû, 16 (1980), 1-15, (in Japanese).
10) K. Konno, Infinitesimal Torelli theorem for complete intersections in certain homogeneous Kähler manifolds, Tohoku Math. J., 38 (1986), 609-624.
11) B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math., 74 (1961), 329-387.
12) S. Mori and H. Sumihiro, On Hartshorne's conjecture, J. Math. Kyoto Univ., 18 (1978), 523-533.
13) H. Nakagawa and R. Takagi, On locally symmetric Kaehler submanifolds in a complex projective space, J. Math. Soc. Japan, 28 (1976), 638-667.
14) Y. Sakane, On non-singular hyperplane sections of some Hermitian symmetric spaces, Osaka J. Math., 22 (1985), 107-121.
15) H. C. Wang, Closed manifolds with homogeneous complex structures, Amer. J. Math., 76 (1954), 1-32.

Right : [1] C. Borcea, Smooth global complete intersections in certain homogeneous complex manifolds, J. Reine Angew. Math., 344 (1983), 65-70.
[2] A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces I, Amer. J. Math., 80 (1958), 458-538.
[3] A. Borel and R. Remmert, Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Ann., 145 (1962), 429-439.
[4] A. Borel and A. Weil, Représentations linéaires et espaces homogènes kählériens des groups de Lie compacts, Séminaire Bourbaki exp., 100 (1954).
[5] R. Bott, Homogeneous vector bundles, Ann. of Math., 66 (1957), 203-248.
[6] J. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer, 1972.
[7] Y. Kimura, On the hypersurfaces of Hermitian symmetric spaces of compact type, Osaka J. Math., 16 (1979), 97-119, II, Y. Kimura, On the hypersurfaces of Hermitian symmetric spaces of compact type, Osaka J. Math., 17 (1980), 455-469.
[8] Y. Kimura, A hypersurface of the irreducible Hermitian symmetric space of type EIII, Osaka J. Math., 16 (1979), 431-438.
[9] Y. Kimura, On the hypersurfaces of Kähler C-spaces, Kobe Shôka-daigaku Jinbunronshû, 16 (1980), 1-15, (in Japanese).
[10] K. Konno, Infinitesimal Torelli theorem for complete intersections in certain homogeneous Kähler manifolds, Tôhoku Math. J., 38 (1986), 609-624.
[11] B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math., 74 (1961), 329-387.
[12] S. Mori and H. Sumihiro, On Hartshorne's conjecture, J. Math. Kyoto Univ., 18 (1978), 523-533.
[13] H. Nakagawa and R. Takagi, On locally symmetric Kaehler submanifolds in a complex projective space, J. Math. Soc. Japan, 28 (1976), 638-667.
[14] Y. Sakane, On non-singular hyperplane sections of some Hermitian symmetric spaces, Osaka J. Math., 22 (1985), 107-121.
[15] H. C. Wang, Closed manifolds with homogeneous complex structures, Amer. J. Math., 76 (1954), 1-32.

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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