Hodge numbers of linked surfaces in \({\mathbb{P}}^ 4\) (Q1103691)
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scientific article; zbMATH DE number 4053798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hodge numbers of linked surfaces in \({\mathbb{P}}^ 4\) |
scientific article; zbMATH DE number 4053798 |
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Hodge numbers of linked surfaces in \({\mathbb{P}}^ 4\) (English)
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1987
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This paper deals with relations between Hodge numbers of surfaces \(S,S'\subseteq {\mathbb{P}}^ 4({\mathbb{C}})\) which are \textit{nicely linked}, i.e. such that there are hypersurfaces F and G with \(G\cap F=S\cup S'\), \(S\cap S'=C\) is a smooth curve and G is smooth away from C with at most a finite number of ordinary double points on C. The idea is that, given S, one can find S' which is simpler to deal with. The article contains numerous interesting examples.
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linkage
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nicely linked surfaces
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Hodge numbers
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