Adelaide Research & Scholarship
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https://hdl.handle.net/2440/123368
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| Type: | Journal article |
| Title: | Characterising hyperbolic hyperplanes of a non-singular quadric in PG (4, q) |
| Author: | Barwick, S.G. Hui, A.M.W. Jackson, W.A. Schillewaert, J. |
| Citation: | Designs, Codes and Cryptography, 2020; 88(1):33-39 |
| Publisher: | Springer Nature |
| Issue Date: | 2020 |
| ISSN: | 0925-1022 1573-7586 |
| Statement of Responsibility: | S.G. Barwick, Alice M.W. Hui, Wen-Ai Jackson, Jeroen Schillewaert |
| Abstract: | Let H be a non-empty set of hyperplanes in PG(4,q), q even, such that every point of PG(4,q) lies in either 0, 1/2q³ or 1/2(q³+q²²) hyperplanes of H, and every plane of PG(4,q) lies in 0 or at least 1/2q hyperplanes of H. Then H is the set of all hyperplanes which meet a given non-singular quadric Q(4, q) in a hyperbolic quadric. |
| Keywords: | Projective geometry; quadrics; hyperplanes |
| Rights: | © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
| DOI: | 10.1007/s10623-019-00669-y |
| Published version: | http://dx.doi.org/10.1007/s10623-019-00669-y |
| Appears in Collections: | Aurora harvest 4 Mathematical Sciences publications |
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