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Quartics in E3 which have a Triple Point and Touch the Plane at Infinity through the Absolute Conic (CROSBI ID 111119)

Prilog u časopisu | izvorni znanstveni rad

Gorjanc, Sonja Quartics in E3 which have a Triple Point and Touch the Plane at Infinity through the Absolute Conic // Mathematical communications, 9 (2004), 1; 67-78-x

Podaci o odgovornosti

Gorjanc, Sonja

engleski

Quartics in E3 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 these surfaces the homogeneous and parametric equations are derived and each type is illustrated with Mathematica graphics.

quartucs; triple point

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Podaci o izdanju

9 (1)

2004.

67-78-x

objavljeno

1331-0623

Povezanost rada

Matematika