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Mathematical Communications, Vol. 9 No. 1, 2004.

Original scientific paper

Quartics in $E^3$ which have a triple point and touch the plane at infinity through the absolute conic

S. Gorjanc

Full text: english pdf 7.275 Kb

page 67-78

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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.

Keywords

quartic; triple point

Hrčak ID:

718

URI

https://hrcak.srce.hr/718

Publication date:

26.6.2004.

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