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Quartics in E^3 which have a Triple Point and Touch the Plane at Infinity through the Absolute Conic


Gorjanc, Sonja
Quartics in E^3 which have a Triple Point and Touch the Plane at Infinity through the Absolute Conic // Mathematical Communications, 9 (2004), 1; 67-78 (podatak o recenziji nije dostupan, članak, znanstveni)


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Naslov
Quartics in E^3 which have a Triple Point and Touch the Plane at Infinity through the Absolute Conic

Autori
Gorjanc, Sonja

Izvornik
Mathematical Communications (1331-0623) 9 (2004), 1; 67-78

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
quartic; triple point

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
0082201

Ustanove:
Građevinski fakultet, Zagreb

Profili:

Avatar Url Sonja Gorjanc (autor)


Citiraj ovu publikaciju:

Gorjanc, Sonja
Quartics in E^3 which have a Triple Point and Touch the Plane at Infinity through the Absolute Conic // Mathematical Communications, 9 (2004), 1; 67-78 (podatak o recenziji nije dostupan, članak, znanstveni)
Gorjanc, S. (2004) Quartics in E^3 which have a Triple Point and Touch the Plane at Infinity through the Absolute Conic. Mathematical Communications, 9 (1), 67-78.
@article{article, author = {Gorjanc, Sonja}, year = {2004}, pages = {67-78}, keywords = {quartic, triple point}, journal = {Mathematical Communications}, volume = {9}, number = {1}, issn = {1331-0623}, title = {Quartics in E\^{}3 which have a Triple Point and Touch the Plane at Infinity through the Absolute Conic}, keyword = {quartic, triple point} }
@article{article, author = {Gorjanc, Sonja}, year = {2004}, pages = {67-78}, keywords = {quartic, triple point}, journal = {Mathematical Communications}, volume = {9}, number = {1}, issn = {1331-0623}, title = {Quartics in E\^{}3 which have a Triple Point and Touch the Plane at Infinity through the Absolute Conic}, keyword = {quartic, triple point} }




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