Abstract
This article studies conics and subconics of PG(2,q2) and their representation in the Andre/Bruck–Bose setting in PG(4,q). 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 PG(2,q2) corresponds in PG(4,q) to a normal rational curve that meets the transversal lines of the regular spread. Conversely, every 3- and 4-dimensional normal rational curve in PG(4,q) that meets the transversal lines of the regular spread corresponds to a conic in a tangent Baer subplane of PG(2,q2).
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