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math.NT2014★ 8 cited
Counting rational points on smooth cubic surfaces
Christopher Frei, Efthymios Sofos
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.
math.NT2014★ 1 cited
Rational Points on the Fermat Cubic Surface
Efthymios Sofos
We prove a lower bound that agrees with Manin's prediction for the number of rational points of bounded height on the Fermat cubic surface. As an application we provide a simple co…