A characterisation of the planes meeting a non-singular quadric of PG(4,Q) in a conic
A characterisation of the planes meeting a non-singular quadric of PG(4,Q) in a conic
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DOI：
10.1007/s00493-013-2402-7
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发表时间：
2013-06
期刊：
影响因子：
1.1
通讯作者：
David K. Butler
中科院分区：
文献类型：
--
作者：
David K. Butler
通过计数和几何参数，给出了满足二次曲线中pg （4,q）非奇异二次曲线的平面的组合刻画。de Resmini[15]证明了该二次曲线在奇时的切线和生成线的一个特征，并利用我们的结果给出了另一种选择。
By counting and geometric arguments, we provide a combinatorial characterisation of the planes meeting the non-singular quadric ofPG(4,q) in a conic. A characterisation of the tangents and generators of this quadric whenqis odd has been proved by de Resmini [15], and we give an alternative using our result.