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On Ovoids of the Generalized Quadrangle $$H(3,q^2)$$ H ( 3 , q 2 )
Annals of Combinatorics ( IF 0.5 ) Pub Date : 2021-05-20 , DOI: 10.1007/s00026-021-00538-3
Bart De Bruyn

We construct examples and families of locally Hermitian ovoids of the generalized quadrangle \(H(3,q^2)\). We also obtain a computer classification of all locally Hermitian ovoids of \(H(3,q^2)\) for \(q \le 4\), and compare the obtained classification for \(q=3\) with the classification of all ovoids of H(3, 9) which is also obtained by computer.



中文翻译:

关于广义四边形的卵形$$ H(3,q ^ 2)$$ H(3,q 2)

我们构造了广义四边形\(H(3,q ^ 2)\)的局部Hermitian卵形的实例和族。我们还获得的所有本地埃尔米特卵形的计算机分类\(H(3,Q ^ 2)\)\(Q \ LE 4 \) ,并比较所获得的分类\(q = 3的\)与分类H(3,9)的所有卵形也可以通过计算机获得。

更新日期:2021-05-20
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