DOCUMENT
1/1
Classification of cubic surfaces with twenty-seven lines over the finite field of order thirteen
journal contribution
posted on 2023-06-09, 09:26 authored by Anton Betten, James W P Hirschfeld, Fatma KaraogluIn 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.
History
Publication status
- Published
File Version
- Published version
Journal
European Journal of MathematicsISSN
2199-675XPublisher
Springer VerlagExternal DOI
Issue
1Volume
4Page range
37-50Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes