刻画抛物二次曲面 Q(2n,q) 的椭圆与双曲超平面
组合数学
2021-11-19 v1
摘要
当 q 为偶数时，我们为抛物二次曲面 Q(2n,q) 的椭圆与双曲超平面集合提供了一种自然的刻画。该刻画基于这些集合经过点与余维 2 空间的元素个数，并推广了 [S. Barwick, A. Hui, and W-A. Jackson. Characterising elliptic solids of Q(4,q), q even. Discrete Math., 343 (6) (2020), 111857] 与 [S. Barwick, A. Hui, W-A. Jackson, and J. Schillewaert. Characterising hyperbolic solids of Q(4,q), q even. Des. Codes Cryptogr., 88 (1) (2020), 33--39.]。
引用
@article{arxiv.2111.09443,
title = {Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric \Q(2n,q)},
author = {Jeroen Schillewaert and Geertrui Van de Voorde},
journal= {arXiv preprint arXiv:2111.09443},
year = {2021}
}
备注
To appear in Finite Fields and their Applications