A tool for stable reduction of curves on surfaces (Q2752193)
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scientific article; zbMATH DE number 1665488
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A tool for stable reduction of curves on surfaces |
scientific article; zbMATH DE number 1665488 |
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3 October 2002
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curves on surfaces
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nodal curves
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central fiber of a one-parameter family
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A tool for stable reduction of curves on surfaces (English)
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The paper is devoted to the question: Which kind of singular curves can appear (after stable or nodal reduction) as central fiber of a one-parameter family of curves on a surface? NEWLINENEWLINENEWLINEA quite precise description of this fiber (via a dual graph) is given by the main result: a lemma (lemma 2.4.1) from which methods used in stable or nodal reduction will follow (this is illustrated by several examples).NEWLINENEWLINEFor the entire collection see [Zbl 0966.00024].
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