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arXiv · 2310.14739

Regular ovoids and Cameron-Liebler sets of generators in polar spaces

Maarten De Boeck·Jozefien D'haeseleer·Morgan Rodgers
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Abstract

Cameron-Liebler sets of generators in polar spaces were introduced a few years ago as natural generalisations of the Cameron-Liebler sets of subspaces in projective spaces. In this article we present the first two constructions of non-trivial Cameron-Liebler sets of generators in polar spaces. Also regular m-ovoids of k-spaces are introduced as a generalization of m-ovoids of polar spaces. They are used in one of the aforementioned constructions of Cameron-Liebler sets.

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Maarten De Boeck, Jozefien D'haeseleer, Morgan Rodgers. 2023-10-23. Regular ovoids and Cameron-Liebler sets of generators in polar spaces. https://arxiv.org/abs/2310.14739

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