A new characterization of elliptic quadrics in PG(3, q), q odd

We prove that a set O of points of PG(3,q), q odd, of line-type (0,m,n)_1, n ≠ q, with a point on which there are at most q+1 lines intersecting O in exactly m points is either an elliptic quadric or n = q + 1 and O is the complement of a line in PG(3,q).

Bibliographic Details
Main Author: Vito Napolitano
Format: Article
Language:English
Published: Accademia Peloritana dei Pericolanti 2018-11-01
Series:Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Online Access: http://dx.doi.org/10.1478/AAPP.96S2A10