Abstract.
Define a conic blocking set to be a set of lines in a Desarguesian projective plane such that all conics meet these lines. Conic blocking sets can be used in determining if a collection of planes in projective three-space forms a flock of a quadratic cone. We discuss trivial conic blocking sets and conic blocking sets in planes of small order. We provide a construction for conic blocking sets in planes of non-prime order, and we make additional comments about the structure of these conic blocking sets in certain planes of even order.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Holder, L.D. Conic blocking sets in Desarguesian projective planes. J. Geom. 80, 95–105 (2004). https://doi.org/10.1007/s00022-004-1762-y
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s00022-004-1762-y