Rational Points on the Fermat Cubic Surface

Abstract

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 counterexample to Manin's conjecture over the rationals.

References in corpus (2)

• Uniformly counting rational points on conics
• Varieties with too many rational points

Cited by in corpus (1)

• On the saturation number for cubic surfaces