On the mutual position of two irreducible conics in PG(2, q), q odd

On the mutual position of two irreducible conics in PG(2, q), q odd

Given an irreducible conic in PG(2, q) with q odd, how many points of another irreducible conic D in PG(2, q) are external to ? It is not hard to find D such that either all its points off are external to , or none of its points are. Apart from these cases, we prove that for q large enough, the numb...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Advances in geometry 2011-11, Vol.11 (4), p.603-614
Hauptverfasser: Abatangelo, V., Fisher, J. C., Korchmáros, G., Larato, B.
Format: Artikel
Sprache:eng
Schlagworte:
arcs
conics
plane curves
Projective planes
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Given an irreducible conic in PG(2, q) with q odd, how many points of another irreducible conic D in PG(2, q) are external to ? It is not hard to find D such that either all its points off are external to , or none of its points are. Apart from these cases, we prove that for q large enough, the number we seek differs from by at most .
ISSN:1615-715X
1615-7168
DOI:10.1515/advgeom.2011.022