Review: Shoshichi Kobayashi, Differential geometry of complex vector bundles
Christian Okonek
Source: Bull. Amer. Math. Soc. (N.S.) Volume 19, Number 2
(1988), 528-530.
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Shoshichi Kobayashi, Differential geometry of complex vector bundles. Publications of the Mathematical Society of Japan, no. 15 Iwanami Shoten Publishers and Princeton University Press, Princeton, N. J., 1987, xi+304 pp., $57.50. ISBN 0-691-08467-x
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183554744
References
1. M. F. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser. A 308 (1982), 523-615.
Zentralblatt MATH: 0509.14014
Mathematical Reviews (MathSciNet): MR702806
Digital Object Identifier: doi:10.1098/rsta.1983.0017
2. S. K. Donaldson, Anti-self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. 50 (1985), 1-26.
Zentralblatt MATH: 0529.53018
Mathematical Reviews (MathSciNet): MR765366
Digital Object Identifier: doi:10.1112/plms/s3-50.1.1
3. S. K. Donaldson, Infinite determinants-stable bundles and curvature, Duke Math. J. 54 (1987), 231-247.
Zentralblatt MATH: 0627.53052
Mathematical Reviews (MathSciNet): MR885784
Digital Object Identifier: doi:10.1215/S0012-7094-87-05414-7
Project Euclid: euclid.dmj/1077305512
4. S. K. Donaldson, Irrationality and the h-cobordism conjecture, J. Differential Geom. 26 (1987), 141-168.
Zentralblatt MATH: 0631.57010
Mathematical Reviews (MathSciNet): MR892034
Project Euclid: euclid.jdg/1214441179
5. R. Friedmann and J. W. Morgan, On the diffeomorphism types of certain algebraic surfaces. I, II, J. Differential Geom. (to appear).
Zentralblatt MATH: 0669.57016
Mathematical Reviews (MathSciNet): MR925124
Project Euclid: euclid.jdg/1214441784
6. M. Lübke, Stability of Einstein-Hermitian vector bundles, Manuscripta Math. 42 (1983), 245-257.
Zentralblatt MATH: 0558.53037
Mathematical Reviews (MathSciNet): MR701206
Digital Object Identifier: doi:10.1007/BF01169586
7. M. S. Narasimhan and C. S. Seshadri, Stable and unitary vector bundles on compact Riemann surfaces, Ann. of Math. (2) 82 (1965), 540-567.
Zentralblatt MATH: 0171.04803
Mathematical Reviews (MathSciNet): MR184252
Digital Object Identifier: doi:10.2307/1970710
8. C. Okonek, M. Schneider and H. Spindler, Vector bundles over complex projective space, Progress in Math., vol. 3, Birkhäuser, Boston, Basel, Stuttgart, 1980.
Zentralblatt MATH: 0438.32016
Mathematical Reviews (MathSciNet): MR561910
9. C. Okonek and A. Van de Ven, Stable vector bundles and differentiable structures on certain elliptic surfaces, Invent. Math. 86 (1986), 357-370.
Zentralblatt MATH: 0613.14018
Mathematical Reviews (MathSciNet): MR856849
Digital Object Identifier: doi:10.1007/BF01389075
10. K. K. Uhlenbeck and S.-T. Yau, On the existence of Hermitian-Yang-Mills connections in stable vector bundles, Comm. Pure Appl. Math. 39 (1986), 257-293.
Zentralblatt MATH: 0615.58045
Mathematical Reviews (MathSciNet): MR861491
Digital Object Identifier: doi:10.1002/cpa.3160390714
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