Classification of cubic surfaces with twenty-seven lines over the finite field of order thirteen

Betten, Anton, Hirschfeld, James W P and Karaoglu, Fatma (2017) Classification of cubic surfaces with twenty-seven lines over the finite field of order thirteen. European Journal of Mathematics. pp. 1-14. ISSN 2199-675X

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Abstract

In Hirschfeld (J Austral Math Soc 4(1):83–89, 1964), the existence of the cubic surface which arises from a double-six over the finite field of order four was considered. In Hirschfeld (Rend Mat Appl 26:115–152, 1967), the existence and the properties of the cubic surfaces over the finite fields of odd and even order was discussed and classified over the fields of order seven, eight, nine. In this paper, cubic surfaces with twenty-seven lines over the finite field of thirteen elements are classified.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
Depositing User: Billy Wichaidit
Date Deposited: 19 Dec 2017 10:57
Last Modified: 15 Jan 2018 10:45
URI: http://sro.sussex.ac.uk/id/eprint/72311

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