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
Main Author: Gorjanc, S.
Format: Paper
Language:English
Published: 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.
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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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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