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arxiv: 1409.6224 · v3 · pith:GDQFU2NMnew · submitted 2014-09-22 · 🧮 math.NT · math.AG

Counting rational points on smooth cubic surfaces

classification 🧮 math.NT math.AG
keywords cubicsmoothboundconjecturecountingdefineddegreeextension
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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.

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