The Hermitian variety \(H(5,4)\) has no ovoid (Q2471464)

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The Hermitian variety \(H(5,4)\) has no ovoid
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    The Hermitian variety \(H(5,4)\) has no ovoid (English)
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    22 February 2008
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    In this paper, authors give a unified proof for the non-existence of ovoids in the polar spaces \(Q^ - (2n + 1,q), H(2n,q^2)\) and \(W(2n+1,q)\) for \(n \geq 2\). And they also show the non-existence of ovoids of the polar spaces \(H(5,4)\) using geometrical and combinatorial approaches.
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    ovoid
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    polar space
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    Hermitian variety
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