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

Vito Napolitano

Abstract


We prove that a set O of points of PG(3,q), q odd, of line-type (0,m,n)1, nq, 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).

Keywords


Projective Space; Elliptic Quadric; Intersection number

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DOI: http://dx.doi.org/10.1478/AAPP.96S2A10

Copyright (c) 2018 Vito Napolitano

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