Characterizing parabolic hyperplanes of the hyperbolic and elliptic quadrics in PG(2n + 1, q)

2022/09/06 by Sahu, Bikramaditya · 1 citation
#05B25 #51E20 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.02657

Abstract

In this article, a combinatorial characterization of the family of parabolic hyperplanes of a hyperbolic (respectively, elliptic) quadric of PG(2n + 1, q), using their intersection properties with the points and subspaces of codimension 2, is given.

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• Characterization of non-singular hyperplanes of H(s,q²) in P G(s, q²)

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