The gonality of general smooth curves with a prescribed plane nodal model (Q911666)
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scientific article; zbMATH DE number 4142197
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The gonality of general smooth curves with a prescribed plane nodal model |
scientific article; zbMATH DE number 4142197 |
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The gonality of general smooth curves with a prescribed plane nodal model (English)
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1991
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Let \(\Gamma\) be a general irreducible plane nodal curve of degree \( d\) possessing exactly \(\delta\) nodes. Let C be the normalization of \(\Gamma\). It is proved that C is (d-2)-gonal if \(\delta <(d^ 2- 7d+18)/2\). For larger \(\delta\) the gonality is smaller.
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plane nodal curve
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gonality
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