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arXiv · 1002.0255

On Manin's conjecture for a family of Châtelet surfaces

R. de la Bretèche·T. D. Browning·E. Peyre
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Abstract

The Manin conjecture is established for Châtelet surfaces over Q arising as minimal proper smooth models of the surface Y^2+Z^2=f(X) where f is a totally reducible polynomial of degree 3 without repeated roots. These surfaces do not satisfy weak approximation.

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R. de la Bretèche, T. D. Browning, E. Peyre. 2010-02-01. On Manin's conjecture for a family of Châtelet surfaces. https://arxiv.org/abs/1002.0255

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