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arXiv · 1207.2685

Affine congruences and rational points on a certain cubic surface

Pierre Le Boudec
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Abstract

We establish estimates for the number of solutions of certain affine congruences. These estimates are then used to prove Manin's conjecture for a cubic surface split over Q and whose singularity type is D_4. This improves on a result of Browning and answers a problem posed by Tschinkel.

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Pierre Le Boudec. 2013-07-31. Affine congruences and rational points on a certain cubic surface. https://doi.org/10.2140/ant.2014.8.1259

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