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Local moduli for complex analytic vector bundles. (English) Zbl 0218.32014


MSC:

32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results
32L20 Vanishing theorems
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References:

[1] Andreotti, A., Stoll, W.: The extension of bounded holomorphic functions from hypersurfaces in a polycylinder. Proc. Conf. in Complex Analysis, Rice University, 1969 (Rice Univ. Studies,56, 199–222 (1971). · Zbl 0217.39203
[2] Cartan, H.: Espaces fibrés analytiques. Symposium Internacional de Topologiá Algebrica. Mexico, 1956, 97–121 (Univ. Nacional de México, 1958).
[3] Eells, J.: A setting for global analysis. Bulletin Amer. Math. Society72, 751–807 (1966).
[4] Frenkel, J.: Séminaire d’analyse. Institut de Mathématique, Strasbourg, 1964–65 (mimeographed lecture notes).
[5] Grauert, H.: Analytische Faserungen über holomorph-vollständigen Räumen. Math. Ann.135, 263–273 (1958). · Zbl 0081.07401
[6] —- Lieb, I.: Das Ramirezsche Integral und die Lösung der Gleichung \(\bar \partial f = \alpha\) im Bereich der beschränkten Formen. Proc. Conf. in Complex Analysis, Rice University, 1969 (Rice Univ. Studies,56, 29–50 (1971). · Zbl 0217.39202
[7] Gunning, R. C., Rossi, H.: Analytic functions of several complex variables. Englewood Cliffs, N.J.: Prentice-Hall, 1965. · Zbl 0141.08601
[8] —- Lectures on vector bundles over Riemann surfaces. Princeton: Princeton Univ. Press 1967. · Zbl 0163.31903
[9] Kerzman, N.: Hölder andL 2 estimates for solutions of \(\bar \partial u = f\) in strongly pseudoconvex domains. Bulletin of Amer. Math. Soc.76, 860–864 (1970). · Zbl 0197.36303
[10] Kodaira, K.: On Kähler varieties of restricted type. Annals of Math.60, 28–48 (1954). · Zbl 0057.14102
[11] Lang, S.: Introduction to differentiable manifolds. New York: Interscience 1962. · Zbl 0103.15101
[12] Lieb, I.: Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten. Math. Ann.190, 6–44 (1970). · Zbl 0199.42702
[13] de Rham, G.: Variétés différentiables. Paris: Hermann 1955.
[14] Weil, A.: Variétés kählériennes. Paris: Hermann 1958.
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