The number of cubic surfaces with 27 lines over a finite field
Loading...
Files
Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
We determine the number of cubic surfaces with 27 lines over a finite field F-q. This is based on exploiting the relationship between non-conical six-arcs in a projective plane embedded in projective three-space and cubic surfaces with 27 lines. We revisit this classical relationship, which goes back to work of Clebsch in the nineteenth century. Our result can be used as an enumerative check for a computer classification of cubic surfaces with 27 lines over finite fields.
Description
Keywords
Geometry, Cubic surface, Finite field, Counting
Journal or Series
Journal of Algebraic Combinatorics
WoS Q Value
Q3
Scopus Q Value
Q1
