Affine normal surfaces with simply-connected smooth locus (Q422374)
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scientific article; zbMATH DE number 6035639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Affine normal surfaces with simply-connected smooth locus |
scientific article; zbMATH DE number 6035639 |
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Affine normal surfaces with simply-connected smooth locus (English)
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16 May 2012
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In the article under review, the authors investigate algebraic and topological conditions which imply that a given normal complex affine surface is smooth or has at worst rational singularities. They establish in particular a kind of global counterpart to Mumford's topological criterion for smoothness of germs of complex surfaces: a normal complex affine surface is smooth if it is topologically contractible and its smooth locus is simply connected. A an algebro-topological characterization of the affine plane among surfaces with quasi-rational singularities is also given.
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affine surfaces
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topological contractibility
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quasi-rational singularities
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