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arXiv 2012-07-11 DOI 10.2140/ant.2014.8.1259 0 views

Affine congruences and rational points on a certain cubic surface

Boudec, Pierre Le

Original · EN

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 D₄. This improves on a result of Browning and answers a problem posed by Tschinkel.

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