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The remaining space problem for 1-convex spaces and its analogue in algebraic geometry - MaRDI portal

The remaining space problem for 1-convex spaces and its analogue in algebraic geometry (Q1201341)

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scientific article; zbMATH DE number 97626
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English
The remaining space problem for 1-convex spaces and its analogue in algebraic geometry
scientific article; zbMATH DE number 97626

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    The remaining space problem for 1-convex spaces and its analogue in algebraic geometry (English)
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    17 January 1993
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    Let \(X\) be a complex analytic (or algebraic) variety and \(Y\) a pure codimension one subvariety of \(X\); set \(U:=X\backslash Y\). This is a well-organized survey on the good properties (e.g. to be Stein or affine or \(q\)-convex or cohomologically \(q\)-complete) of \(U\). As stressed by the author, this survey contains only pre-1980 results, except the last 3 pages.
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    Stein space
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    1-convex
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    hypersurfaces
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    affine variety
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    \(q\)-complete space
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    \(q\)-convex space
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    cohomological
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