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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 Karaoglu
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

European Journal of Mathematics

ISSN

2199-675X

Publisher

Springer Verlag

Issue

1

Volume

4

Page range

37-50

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-12-19

First Open Access (FOA) Date

2018-01-15

First Compliant Deposit (FCD) Date

2017-12-19

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