The number of cubic surfaces with 27 lines over a finite field

Author:

Karaoglu FatmaORCID,Betten Anton

Funder

Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Reference24 articles.

1. Baker, H.F.: Principles of Geometry. Volume 3. Solid Geometry. Cambridge Library Collection. Cambridge University Press, Cambridge (2010). Reprint of the 1923 original

2. Betten, A., Hirschfeld, J.W.P., Karaoğlu, F.: Classification of cubic surfaces with twenty-seven lines over the finite field of order thirteen. Eur. J. Math. 4(1), 37–50 (2018)

3. Betten, A., Karaoğlu, F.: Cubic surfaces over small finite fields. Des. Codes Cryptogr. 87(4), 931–953 (2019)

4. Cayley, A.: On the triple tangent planes of surfaces of the third order. Camb. Dublin Math. J. 4, 118–138 (1849)

5. Clebsch, A.: Die Geometrie auf den Flächen dritter Ordnung. J. Reine Angew. Math. 65, 359–380 (1866)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A New Form of Smooth Cubic Surfaces with 9 Lines;Journal of New Theory;2023-09-30

2. Nonsingular cubic surfaces over F2k;TURKISH JOURNAL OF MATHEMATICS;2021-11-29

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