Circular Quartics in Pseudo-Euclidean plane (CROSBI ID 584205)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Jurkin, Ema
engleski
Circular Quartics in Pseudo-Euclidean plane
The pseudo-Euclidean plane is a projective plane where the metric is induced by a real line f and two real points F1 and F2 incidental with it. An algebraic curve k of order n intersects the absolute line f in n points. If one of them coincides with one of the absolute points, the curve is said to be circular. If F1 is an intersection point of k and f with the intersection multiplicity r and F2 is an intersection point of k and f with the intersection multiplicity t, then k is said to be a curve with the type of circularity (r, t) and its degree of circularity is defined as r+t. If n=r+t, the curve is entirely circular. A curve of order four in the projective plane can be defined as a locus of the intersection points of pairs of corresponding conics in the projectively linked pencils of conics. We determine the conditions that the pencils of conics and the projectivity have to fulfill in order to obtain a quartic of a certain type. It will be shown that all types of circular quartics in the pseudo-Euclidean plane can be constructed by using this method.
pseudo-Euclidean plane; type of circularity; quartic; pencil of conics; projectivity
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Podaci o prilogu
2012.
objavljeno
Podaci o matičnoj publikaciji
GeoGra 2012 Conference, Budapest, 20-21/01/2012
Bolcskei, Attila ; Nagy, Gyula
Budimpešta:
Podaci o skupu
GeoGra 2012 Conference
predavanje
20.01.2012-21.01.2012
Budimpešta, Mađarska