Open Access
2006 Projections of quadrics in finite projective spaces of odd characteristic
Frank De Clerck, Nikias De Feyter
Innov. Incidence Geom. 3: 51-80 (2006). DOI: 10.2140/iig.2006.3.51

Abstract

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.

Citation

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Frank De Clerck. Nikias De Feyter. "Projections of quadrics in finite projective spaces of odd characteristic." Innov. Incidence Geom. 3 51 - 80, 2006. https://doi.org/10.2140/iig.2006.3.51

Information

Received: 31 August 2005; Published: 2006
First available in Project Euclid: 28 February 2019

zbMATH: 1113.51001
MathSciNet: MR2267606
Digital Object Identifier: 10.2140/iig.2006.3.51

Subjects:
Primary: 05B25 , 51E20

Keywords: external points of a conic , internal points of a conic , projections of quadrics , sets of points in projective space with prescribed intersection types

Rights: Copyright © 2006 Mathematical Sciences Publishers

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