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Stable principal bundles on a compact Riemann surface. (English) Zbl 0284.32019


MSC:

32L99 Holomorphic fiber spaces
30F10 Compact Riemann surfaces and uniformization
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References:

[1] Borel, A.: Linear algebraic groups. New York: W. A. Benjamin Inc. 1969 · Zbl 0206.49801
[2] Bourbaki, N.: Groupes et algebres de Lie chapitres 4, 5 et 6. Paris: Hermann 1968 · Zbl 0186.33001
[3] Cartan, H.: Quotient d’un espace analytique par un groupe d’automorphisms, Algebraic geometry and topology (A symposium in honour of S. Lefschets) pp. 90-102. Princeton University Press 1957
[4] Douady, A.: Le probleme des modules pour les varietes analytic complexes, Seminaire Bourbaki, Exposé277, 1964-1965
[5] Griffiths, Ph. A.: The extension problem for compact submanifolds of complex manifolds I, Proceedings of the conference on complexe analysis, Minneapolis 1964. Berlin-Heidelberg-New York: Springer 1965
[6] Grothendieck, A.: A general theory of fibre spaces with structure sheaf. University of Kansas Report No. 4 (1955) · Zbl 0064.35501
[7] Grothendieck, A.: Sur la classification des fibres holomorphes sur la sphere de Riemann. Amer. Jour. of Math.79, 121-138 (1957) · Zbl 0079.17001
[8] Helgason, S.: Differential geometry and symmetric spaces. New York: Academic Press 1962 · Zbl 0111.18101
[9] Husemoller, D.: Fibre bundles, New York: McGraw-Hill Book Company 1966 · Zbl 0144.44804
[10] Kaup, W.: Holomorphic mappings of complex spaces. Institute Nazionale di Alta Mathematica Symposia Mathematica, Vol. II, (1968) · Zbl 0194.11303
[11] Kostant, B.: The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Amer. J. Math.81, 973-1032 (1959) · Zbl 0099.25603
[12] Kuranishi, M.: New proof for the existence of locally complete families of complex analytic structures. Proceedings of the conference on complex analysis, Minneapolis 1964, Berlin-Heidelberg-New York: Springer 1965 · Zbl 0119.07704
[13] Kuranishi, M.: A note on families of complex structures. Global Analysis: Papers in Honour of K. Kodaira, University of Tokyo Press and Princeton University Press 1969 · Zbl 0211.10301
[14] Koszul, J. L.: Lectures on fibre bundles and differential geometry. Tata Institute of Fundamental Research, 1960
[15] Koszul, J. L., Malgrange, B.: Sur certaine structures fibres complexes, Archiv der Mathematik9, 102-109 (1958) · Zbl 0083.16705
[16] Malgrange, B.: Lectures on the theory of functions of several complex variables, Tata Institute of Fundamental Research, 1958
[17] Maunder, C. R. F.: Algebraic Topology. London: Van Nostrand Reinhold Company 1970 · Zbl 0205.27302
[18] Mumford, D.: Geometric invariant theory, Berlin-Heidelberg-New York: Springer 1965 · Zbl 0147.39304
[19] Narasimhan, M. S., Seshadri, C. S.: Holomorphic vector bundles on a compact Riemann Surface. Math. Ann.155, 69-80 (1964) · Zbl 0122.16701
[20] Narasimhan, M. S., Seshadri, C. S.: Stable and unitary vector bundles on a compact Riemann surface. Ann. Math.82, 540-567 (1965) · Zbl 0171.04803
[21] Narasimhan, M. S., Simha, R. R.: Manifolds with ample canonical class. Inventiones math.5, 120-128 (1968) · Zbl 0159.37902
[22] Serre, J. P.: Representations Lineaires et espaces homogenes Kähleriens des groupes de Lie compacts. Seminaire Bourbaki, Exposé100 (1954)
[23] Ramanan, S.: Holomorphic vector bundles on homogeneous spaces. Topology5, 159-177 (1966) · Zbl 0138.18602
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