On the local Picard group (Q600690)
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scientific article; zbMATH DE number 5809077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the local Picard group |
scientific article; zbMATH DE number 5809077 |
Statements
On the local Picard group (English)
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1 November 2010
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The aim of this paper is to prove local Lefschetz theorems for the Picard groups of a complex singularity \((X,0)\). These are obtained by imposing conditions on the depth of the corresponding `link' \(X\setminus \{0\}\) and also on the rectified cohomological depth of a generic hyperplane complement \(X \setminus H\).
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depth conditions
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local Lefschetz theorem
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completion
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