Karaoglu, Fatma.pdf (1.4 MB)
The cubic surfaces with twenty-seven lines over finite fields
thesis
posted on 2023-06-09, 14:54 authored by Fatma KaraogluIn 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.
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- Published version
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172.0Department affiliated with
- Mathematics Theses
Qualification level
- doctoral
Qualification name
- phd
Language
- eng
Institution
University of SussexFull text available
- Yes
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2018-09-04Usage metrics
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