On Manin's conjecture for a family of Chastelet surfaces

• 成果类型: Article
• 署名作者: de la Breteche, Regis; Browning, Tim; Peyre, Emmanuel
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.175.1.8
• 发表日期: 2012
• 页码: 297-343
• 关键词: 2 quadrics; intersections; number; forms; sums

摘要

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