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

• 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
• Subjects: quartic; triple point
• ISSN: 1331-0623; 1848-8013

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.