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Abstract
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This article studies conics and subconics of
and their representation in the André/Bruck–Bose setting in
. In
particular, we investigate their relationship with the transversal lines of the regular
spread. The main result is to show that a conic in a tangent Baer subplane of
corresponds
in
to a normal rational curve that meets the transversal lines of the regular
spread. Conversely, every 3- and 4-dimensional normal rational curve in
that
meets the transversal lines of the regular spread corresponds to a conic in a tangent Baer
subplane of
.
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Keywords
Bruck–Bose representation, Baer subplanes, conics,
subconics
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Mathematical Subject Classification 2010
Primary: 51E20
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Milestones
Received: 4 July 2018
Revised: 4 December 2018
Accepted: 29 December 2018
Published: 14 March 2019
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