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Function Theory on Noncompact Kähler Manifolds

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Complex Differential Geometry

Part of the book series: DMV Seminar ((OWS,volume 3))

Abstract

These are the notes on which I based my lectures in the DMV Arbeitsgemeinschaft of July 1981. They are neither a survey of, nor an introductory text on, the function theory of noncompact Kähler manifolds. My intention is rather to provide a somewhat discursive tour guide of the subject by way of several illustrative theorems and open problems; for this reason, motivation and heuristic arguments will take precedence over technical details in the ensuing discussion. If at times I am unusually precise about the details (e.g., the proof of Theorem 2 in §3), it is because I happen to believe in such cases that the technical execution is the heart of the matter. Since such decisions are entirely subjective, I can only hope that my judgment in this regard has not been too wrong too often.

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    H. Wu

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Wu, H. (1983). Function Theory on Noncompact Kähler Manifolds. In: Complex Differential Geometry. DMV Seminar, vol 3. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6566-1_2

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  • DOI: https://doi.org/10.1007/978-3-0348-6566-1_2

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1494-1

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