Quartics in $E^3$ which have a triple point and touch the plane at infinity through the absolute conic
This paper gives the classification of the 4th order surfaces in $E^3$ which have a triple point and touch the plane at infinity at the absolute conic. The classification is made according to the type of the tangent cubic cone at a triple point. Three types with sixteen subtypes are obtained. For th...
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Published in: | Mathematical Communications Vol. 9; no. 1; p. 67 |
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Format: | Paper |
Language: | English |
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Odjel za matematiku, Sveučilište J.J.Strossmayera u Osijeku
26-06-2004
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Abstract | This paper gives the classification of the 4th order surfaces in $E^3$
which have a triple point and touch the plane at infinity at the absolute conic. The classification is made according to the type of the tangent cubic cone at a triple point. Three types with sixteen subtypes are obtained. For these surfaces the homogeneous and parametric equations are derived and each type is illustrated with Mathematica graphics. |
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AbstractList | This paper gives the classification of the 4th order surfaces in $E^3$
which have a triple point and touch the plane at infinity at the absolute conic. The classification is made according to the type of the tangent cubic cone at a triple point. Three types with sixteen subtypes are obtained. For these surfaces the homogeneous and parametric equations are derived and each type is illustrated with Mathematica graphics. |
Author | Gorjanc, S. |
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Snippet | This paper gives the classification of the 4th order surfaces in $E^3$
which have a triple point and touch the plane at infinity at the absolute conic. The... |
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StartPage | 67 |
SubjectTerms | quartic triple point |
Title | Quartics in $E^3$ which have a triple point and touch the plane at infinity through the absolute conic |
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