Function Theory on Noncompact Kähler Manifolds
1983; Linguagem: Inglês
10.1007/978-3-0348-6566-1_2
ISSN2296-5041
Autores Tópico(s)Algebraic Geometry and Number Theory
ResumoThese 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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