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The Extension Problem for Compact Submanifolds of Complex Manifolds I

(The Case of a Trivial Normal Bundle)

  • Conference paper
Proceedings of the Conference on Complex Analysis

Abstract

Let X be a compact, complex submanif old of a V. We wish to consider over X certain analytic objects, such as: (i) a holomorphic vector bundle EX (the notations are explained in § 1 below); (ii) a subspace SH q(X, ε); or (iii) a holomorphic mapping f: XY for some complex manifold Y. The extension problem we consider is, given an analytic object a over X, to find a corresponding analytic object β over V such that β restricted to X gives α.

Received June 1, 1964.

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© 1965 Springer-Verlag Berlin · Heidelberg

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Griffiths, P.A. (1965). The Extension Problem for Compact Submanifolds of Complex Manifolds I. In: Aeppli, A., Calabi, E., Röhrl, H. (eds) Proceedings of the Conference on Complex Analysis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48016-4_12

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  • DOI: https://doi.org/10.1007/978-3-642-48016-4_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-48018-8

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