Singular points of real sextic curves. I (Q970484)
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scientific article; zbMATH DE number 5709119
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular points of real sextic curves. I |
scientific article; zbMATH DE number 5709119 |
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Singular points of real sextic curves. I (English)
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19 May 2010
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A complete classification of singular points for irreducible real sextic curves \(f(x,y)=0\) is given. The classification is based on expansions of the Puiseux solutions \(y=\phi (x)\) of the equation \(f(x,y)=0\). The authors use extensively the computer algebra system Maple. They list \(191\) types of such singularities. They are described explicitly together with their Newton diagrams and tree diagrams.
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sextic curve
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real curve
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singular point
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Newton polygon
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Puiseux expansion
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