Counting rational points on smooth cubic surfaces

Abstract

We prove that any smooth cubic surface defined over any number field satisfies the lower bound predicted by Manin's conjecture possibly after an extension of small degree.

11 pages, minor revision

Cited by in corpus (5)

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• Finite saturation for unirational varieties
• Weak admissibility, primitivity, o-minimality, and Diophantine approximation
• Generalised divisor sums of binary forms over number fields
• The Batyrev-Tschinkel conjecture for a non-normal cubic surface and its symmetric square