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Cubic surfaces with one rational line over finite fields

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 نشر من قبل Jenny Cooley
 تاريخ النشر 2013
  مجال البحث
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 تأليف Jenny Cooley




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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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