Relative homotopical depth and a conjecture of Deligne (Q1318100)
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scientific article; zbMATH DE number 537288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative homotopical depth and a conjecture of Deligne |
scientific article; zbMATH DE number 537288 |
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Relative homotopical depth and a conjecture of Deligne (English)
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23 March 1994
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The notion of relative rectified homotopical depth for complex analytic morphisms is introduced as a generalization of Grothendiecks definition for a complex analytic space. As in the absolute case relative Lefschetz- type theorems for morphisms are proved. Applications lead to a generalization of a conjecture of Deligne and theorems of Lefschetz-type on singular spaces.
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Lefschetz-theorems
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homotopical depth
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