châtelet, surface, algebraic, geometry, rational, surface, studied, châtelet, 1959, given, equationsome, snapshots, showing, real, points, with, axis, yellow, blue, displaystyle, where, degree, they, conic, bundles, references, editchâtelet, 1959, points, rati. In algebraic geometry a Chatelet surface is a rational surface studied by Chatelet 1959 given by an equationSome snapshots showing the real points of the Chatelet surface with P x x 3 5 x 2 6 x Axis x red y yellow z blue y2 az2 P x displaystyle y 2 az 2 P x where P has degree 3 or 4 They are conic bundles References editChatelet F 1959 Points rationnels sur certaines courbes et surfaces cubiques L Enseignement mathematique 2nd ser in French 5 153 170 MR 0130218 archived from the original on 2014 04 19 retrieved 2009 06 23 Viray Bianca 2012 Failure of the Hasse principle for Chatelet surfaces in characteristic 2 Journal de Theorie des Nombres de Bordeaux 24 1 231 236 arXiv 0902 3644 doi 10 5802 jtnb 794 MR 2914907 S2CID 13878632 Retrieved from https en wikipedia org w index php title Chatelet surface amp oldid 1083968100, wikipedia, wiki, book, books, library,
