Cubic surfaces with one rational line over finite fields
classification
🧮 math.NT
keywords
rationalcubicfiniteleastlinecontainingdefinedfield
read the original abstract
Let Fq be a finite field with q=8 or q at least 16. Let S be a smooth cubic surface defined over Fq containing at least one rational line. We use a pigeonhole principle to prove that all the rational points on S are generated via tangent and secant operations from a single point.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.