Entirely Circular Quartics in the pseudo-Euclidean Plane

izvorni znanstveni rad

izvorni znanstveni rad

Entirely Circular Quartics in the pseudo-Euclidean Plane

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2012
Časopis Acta mathematica Hungarica
Nadređena publikacija ACTA MATHEMATICA HUNGARICA
Volumen 134
Svesčić 4
Stranice str. 571-582
DOI 10.1007/s10474-011-0174-3
ISSN 0236-5294
EISSN 1588-2632
Status objavljeno

Sažetak

A curve in the pseudo-Euclidean plane is circular if it passes through at least one of the absolute points. If it does not share any point with the absolute line except the absolute points, it is said to be entirely circular. In this paper we construct all types of entirely circular quartics by using projectively linked pencils of conics.

Ključne riječi

pseudo-Euclidean plane; entirely circular quartic; projectivity; pencils of conics