Vol. 3, No. 1, 2006

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Projections of quadrics in finite projective spaces of odd characteristic

Frank De Clerck and Nikias De Feyter

Vol. 3 (2006), No. 1, 51–80

The set of points obtained by projecting a quadric from a point off the quadric on a hyperplane has many interesting properties. Hirschfeld and Thas provided a characterization of this set, only by means of its intersection pattern with lines. However, their result only holds when the finite field has even order. Here, we extend their result to finite fields of odd order.

Mathematical Subject Classification 2000
Primary: 05B25, 51E20
Received: 31 August 2005
Frank De Clerck
Nikias De Feyter