Sur la connexité en géométrie analytique complexe locale. (On the connectedness in local complex analytic geometry) (Q1424728)
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scientific article; zbMATH DE number 2059470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sur la connexité en géométrie analytique complexe locale. (On the connectedness in local complex analytic geometry) |
scientific article; zbMATH DE number 2059470 |
Statements
Sur la connexité en géométrie analytique complexe locale. (On the connectedness in local complex analytic geometry) (English)
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17 March 2004
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The authors prove a local version of the result due to A. Grothendieck that a subscheme of a local and complete \(n\)-dimensional irreducible scheme defined by \(p\) equations is connected in dimension \(n-p\). The proof is direct and based only on the standard methods of complex analytic geometry.
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local algebra
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homotopy type
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complex germ
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hyperplane section
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