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arXiv · 1905.06085

An infinite family of $m$-ovoids of $Q(4,q)$

Tao Feng·Ran Tao
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Abstract

In this paper, we construct an infinite family of $\frac{q-1}{2}$-ovoids of the generalized quadrangle $Q(4,q)$, for $q\equiv 1 (\text{mod}\ 4)$ and $q>5$. Together with the examples given by Bamberg et al. and constructions provided by Feng et al., this establishes the existence of $\frac{q-1}{2}$-ovoids in $Q(4,q)$ for each odd prime power $q$.

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Tao Feng, Ran Tao. 2019-05-16. An infinite family of $m$-ovoids of $Q(4,q)$. https://arxiv.org/abs/1905.06085

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