{"_id":"237","quality_controlled":0,"title":"On Manin's conjecture for a family of Châtelet surfaces","publication":"Annals of Mathematics","date_created":"2018-12-11T11:45:22Z","volume":175,"page":"297 - 343","date_updated":"2021-01-12T06:57:04Z","month":"01","status":"public","type":"journal_article","year":"2012","day":"01","date_published":"2012-01-01T00:00:00Z","author":[{"full_name":"de la Bretèche, Régis","last_name":"De La Bretèche","first_name":"Régis"},{"orcid":"0000-0002-8314-0177","full_name":"Timothy Browning","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D"},{"full_name":"Peyre, Emmanuel","last_name":"Peyre","first_name":"Emmanuel"}],"doi":"10.4007/annals.2012.175.1.8","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","citation":{"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>.","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.","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>","short":"R. De La Bretèche, T.D. Browning, E. Peyre, Annals of Mathematics 175 (2012) 297–343.","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>","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.","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>."},"publication_status":"published","publist_id":"7667","publisher":"Princeton University Press","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."}],"issue":"1","extern":1,"intvolume":"       175"}