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arxiv: 1502.01926 · v2 · pith:Z5JPRLCLnew · submitted 2015-02-06 · 🧮 math.CO

Weighted Intriguing Sets in Finite Polar Spaces

classification 🧮 math.CO
keywords spaceshermitianhyperbolicnon-existenceovoidspolarcharacteristiceven
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We provide new proofs for the non-existence of ovoids in hyperbolic spaces of rank at least four in even characteristic, and for the Hermitian polar space $\mathsf{H}(5, 4)$. We also improve the results of A. Klein on the non-existence of ovoids of Hermitian spaces and hyperbolic quadrics.

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