The Seifert form of a plane curve singularity determines its intersection multiplicities (Q1815085)
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scientific article; zbMATH DE number 941338
| Language | Label | Description | Also known as |
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| English | The Seifert form of a plane curve singularity determines its intersection multiplicities |
scientific article; zbMATH DE number 941338 |
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The Seifert form of a plane curve singularity determines its intersection multiplicities (English)
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12 December 1996
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Consider an isolated plane curve singularity. The Seifert form on the second homology group of the Milnor fibre is a certain bilinear form. It determines the intersection form and the monodromy on the Milnor fibre. \textit{W. Burau} proved that for irreducible plane curve singularities the Seifert form determines the topological type. In this paper the author proves that the Seifert form determines the intersection multiplicity of the branches with each other.
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Seifert form
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Milnor fibre
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plane curve singularities
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intersection multiplicity
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