The Sebastiani-Thom isomorphism in the derived category (Q2711354)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Sebastiani-Thom isomorphism in the derived category |
scientific article |
Statements
7 November 2001
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Milnor fibre
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vanishing cycle
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derived category
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Sebastiani-Thom
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perverse sheave
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The Sebastiani-Thom isomorphism in the derived category (English)
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The author proves that the famous Sebastiani-Thom isomorphism for Milnor fibres and their monodromies [\textit{M. Sebastiani} and \textit{R. Thom}, Invent. Math. 13, 90-96 (1971; Zbl 0233.32025)] has a natural generalization in the derived category of bounded constructible complexes of sheaves. The result is local. NEWLINENEWLINENEWLINEIn the last section difficulties with the global situation and some applications are discussed.
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