The cubic surfaces with twenty-seven lines over finite fields

Karaoglu, Fatma (2018) The cubic surfaces with twenty-seven lines over finite fields. Doctoral thesis (PhD), University of Sussex.

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Abstract

In this thesis, we classify the cubic surfaces with twenty-seven lines in three dimensional projective space over small finite fields. We use the Clebsch map to construct cubic surfaces with twenty-seven lines in PG(3; q) from 6-arcs not on a conic in PG(2; q). We introduce computational and geometrical procedures for the classification of cubic surfaces over the finite field Fq. The performance of the algorithms is illustrated by the example of cubic surfaces over F13, F17 and F19.

Item Type: Thesis (Doctoral)
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0440 Geometry. Trigonometry. Topology
Depositing User: Library Cataloguing
Date Deposited: 04 Sep 2018 16:11
Last Modified: 04 Sep 2018 16:11
URI: http://sro.sussex.ac.uk/id/eprint/78533

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