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Title: The cubic surfaces with twenty-seven lines over finite fields
Author: Karaoglu, Fatma
ISNI:       0000 0004 7425 4417
Awarding Body: University of Sussex
Current Institution: University of Sussex
Date of Award: 2018
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA0440 Geometry. Trigonometry. Topology