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

Authors

DOI:

https://doi.org/10.1478/AAPP.96S2A10

Keywords:

Projective Space, Elliptic Quadric, Intersection number

Abstract

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).

Author Biography

  • Vito Napolitano, Università della Campania "Luigi Vanvitelli"
    Dipartimento di Matematica e Fisica

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Published

2018-11-20

Issue

Vol 96, SUPPL NO 2 (2018): HyGraDe 2017

Section

HyGraDe 2017 (Conference Proceedings)

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