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arXiv:1002.0255 [math.NT]AbstractReferencesReviewsResources

On Manin's conjecture for a family of Châtelet surfaces

R. de la Bretèche, T. D. Browning, E. Peyre

Published 2010-02-01Version 1

The Manin conjecture is established for Ch\^atelet 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.

Categories: math.NT
Subjects: 14E08, 11D45, 12G05, 14F43
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