An infinite family of m-ovoids of the hyperbolic quadrics Q⁺(7,q)

2023/09/13 by Francesco Pavese, Pavese, Francesco, Hanlin Zou +1
Mathematics · #Finite Group Theory Research #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2309.06821

Abstract

An infinite family of (q²+q+1)-ovoids of Q⁺(7,q), q≡ 1\pmod3, admitting the group PGL(3,q), is constructed. The main tool is the general theory of generalized hexagons.

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