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Cubic surfaces with one rational line over finite fields

Published 20 Dec 2013 in math.NT | (1312.5905v1)

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.

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Authors (1)

  1. Jenny Cooley 

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