User antoine ducros - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T11:50:53Z http://mathoverflow.net/feeds/user/28143 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/112524/smooth-curves-on-smooth-varieties Smooth curves on smooth varieties Antoine Ducros 2012-11-15T21:44:16Z 2012-11-15T23:10:43Z <p>Let X be a smooth, proper algebraic variety over a field k, of positive dimension. Is it true that X contains a smooth Zariski-closed curve ? If it is projective, this is true by Bertini. But in general ?</p>