Intermediate holomorphic convexity (Q1318084)
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scientific article; zbMATH DE number 537275
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Intermediate holomorphic convexity |
scientific article; zbMATH DE number 537275 |
Statements
Intermediate holomorphic convexity (English)
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26 May 1994
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The purpose of the article is to give a generalisation of the notion of holomorphic convexity. We begin with an analogue of Remmert's Reduction Theorem by showing that a \(q\)-holomorphically convex complex space is naturally endowed with a proper morphism on a \(q\)-complete space. We show after that the \(q\)-complete spaces arising in this situation are special: they enjoy in particular the property that each relatively compact open subset carries a Kähler form.
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\(q\)-holomorphic
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Remmert's reduction theorem
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\(q\)-complete
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holomorphic convexity
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