Tomography of singular varieties and Lefschetz theorems (Q2766413)
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scientific article; zbMATH DE number 1696328
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tomography of singular varieties and Lefschetz theorems |
scientific article; zbMATH DE number 1696328 |
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28 January 2002
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tomography of singular varieties
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connectivity
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transversality
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Lefschetz theorem
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Tomography of singular varieties and Lefschetz theorems (English)
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The author investigates a complex quasiprojective variety \(Z\) of dimension \(m\). In the case when \(Z\) is smooth and closed, the well-known theorem of Lefschetz estimates the connectivity of an intersection of \(Z\) with a projective hyperplane \(L\). Theorems 2.2 and 2.5 of the paper provide interesting generalizations of the Lefschetz theorem under suitable genericity conditions.
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