Abstract
By counting and geometric arguments, we provide a combinatorial characterisation of the planes meeting the non-singular quadric of PG(4,q) in a conic. A characterisation of the tangents and generators of this quadric when q is odd has been proved by de Resmini [15], and we give an alternative using our result.
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Butler, D.K. A characterisation of the planes meeting a non-singular quadric of PG(4,Q) in a conic. Combinatorica 33, 161–179 (2013). https://doi.org/10.1007/s00493-013-2402-7
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DOI: https://doi.org/10.1007/s00493-013-2402-7