---
_id: '237'
abstract:
- lang: eng
  text: The Manin conjecture is established for Châtelet surfaces over Q aris-ing
    as minimal proper smooth models of the surface Y 2 + Z 2 = f(X) in A 3 Q, where
    f ∈ Z[X] is a totally reducible polynomial of degree 3 without repeated roots.
    These surfaces do not satisfy weak approximation.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Régis
  full_name: de la Bretèche, Régis
  last_name: De La Bretèche
- first_name: Timothy D
  full_name: Timothy Browning
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Emmanuel
  full_name: Peyre, Emmanuel
  last_name: Peyre
citation:
  ama: De La Bretèche R, Browning TD, Peyre E. On Manin’s conjecture for a family
    of Châtelet surfaces. <i>Annals of Mathematics</i>. 2012;175(1):297-343. doi:<a
    href="https://doi.org/10.4007/annals.2012.175.1.8">10.4007/annals.2012.175.1.8</a>
  apa: De La Bretèche, R., Browning, T. D., &#38; Peyre, E. (2012). On Manin’s conjecture
    for a family of Châtelet surfaces. <i>Annals of Mathematics</i>. Princeton University
    Press. <a href="https://doi.org/10.4007/annals.2012.175.1.8">https://doi.org/10.4007/annals.2012.175.1.8</a>
  chicago: De La Bretèche, Régis, Timothy D Browning, and Emmanuel Peyre. “On Manin’s
    Conjecture for a Family of Châtelet Surfaces.” <i>Annals of Mathematics</i>. Princeton
    University Press, 2012. <a href="https://doi.org/10.4007/annals.2012.175.1.8">https://doi.org/10.4007/annals.2012.175.1.8</a>.
  ieee: R. De La Bretèche, T. D. Browning, and E. Peyre, “On Manin’s conjecture for
    a family of Châtelet surfaces,” <i>Annals of Mathematics</i>, vol. 175, no. 1.
    Princeton University Press, pp. 297–343, 2012.
  ista: De La Bretèche R, Browning TD, Peyre E. 2012. On Manin’s conjecture for a
    family of Châtelet surfaces. Annals of Mathematics. 175(1), 297–343.
  mla: De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Family of Châtelet
    Surfaces.” <i>Annals of Mathematics</i>, vol. 175, no. 1, Princeton University
    Press, 2012, pp. 297–343, doi:<a href="https://doi.org/10.4007/annals.2012.175.1.8">10.4007/annals.2012.175.1.8</a>.
  short: R. De La Bretèche, T.D. Browning, E. Peyre, Annals of Mathematics 175 (2012)
    297–343.
date_created: 2018-12-11T11:45:22Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:04Z
day: '01'
doi: 10.4007/annals.2012.175.1.8
extern: 1
intvolume: '       175'
issue: '1'
month: '01'
page: 297 - 343
publication: Annals of Mathematics
publication_status: published
publisher: Princeton University Press
publist_id: '7667'
quality_controlled: 0
status: public
title: On Manin's conjecture for a family of Châtelet surfaces
type: journal_article
volume: 175
year: '2012'
...