- Working Paper
Consider two symmetric 3×3 matrices A and B with entries in GF(q) , for q=p n , p an odd prime. The zero sets of v T Av and v T Bv can be viewed as (possibly degenerate) conics in the finite projective coordinate plane of order q . Using combinatorial properties of pencils of conics in PG(2,q) , we are able to tell when it is possible to find a nonsingular matrix S with entries in GF(q) , such that S T AS and S T BS are both diagonal matrices. This is equivalent to the existence of a collineation mapping two given conics into conics with matrices in diagonal form. For two proper conics, we will in particular compare the situation in PG(2,q) to the real projective plane and point out some differences Show more
Journal / seriesarXiv
Pages / Article No.
Organisational unit03874 - Hungerbühler, Norbert / Hungerbühler, Norbert
NotesSubmitted on 15 October 2014.
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