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arXiv · 2309.06821

An infinite family of $m$-ovoids of the hyperbolic quadrics $\mathcal{Q}^+(7,q)$

Francesco Pavese·Hanlin Zou
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Abstract

An infinite family of $(q^2+q+1)$-ovoids of $\mathcal{Q}^+(7,q)$, $q\equiv 1\pmod{3}$, admitting the group $\mathrm{PGL}(3,q)$, is constructed. The main tool is the general theory of generalized hexagons.

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Francesco Pavese, Hanlin Zou. 2023-09-13. An infinite family of $m$-ovoids of the hyperbolic quadrics $\mathcal{Q}^+(7,q)$. https://arxiv.org/abs/2309.06821

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