Naslov
Circular Quartics in Isotropic Plane Generated by Projectively Linked Pencils of Conics
(Circular Quartics in Isptropic Plane Generatied by Projectively Linked Pencils of Conics)

Autori
Jurkin, Ema

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Conference on Geometry Theory and Aplications Book of Abstracts / Bastl, B., Lavička, M. - Plzeň, 2009, 44-44

ISBN
978-80-86843-27-8

Skup
Conference on Geometry: Theory and Aplications

Mjesto i datum
Plzeň, Češka Republika, 29.06.2009. - 02.07.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
cirkularna kvartika; projektivitet; pramen konika; izotropna ravnina
(circular quatric; projectivity; pencil of conics; isotropic plane)

Sažetak
A curve in an isotropic plane is circular if it passes through the absolute point. Its degree of circularity is defined as the number of its intersection points with the absolute line falling into the absolute point. A curve of order four can be obtained as the locus of the intersections of corresponding conics of projectively linked pencils of conics. The conditions that the pencils and the projectivity have to fulfill in order to obtained a circular quartic of a certain type are determined analytically. The quartics of all degrees of circularity and all types are constructed using these results.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA