Picard Number of Smooth K3 Surfaces - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-18T05:14:16Z http://mathoverflow.net/feeds/question/73350 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/73350/picard-number-of-smooth-k3-surfaces Picard Number of Smooth K3 Surfaces unknown (google) 2011-08-21T18:51:09Z 2011-08-21T18:51:09Z <p>Let C be a smooth curve on a smooth quadric threefold in P^4. A general anticanonical divisor of the quadric containing C will be a smooth K3 surface. Is it true that a generic such K3 surface has Picard number 1 or 2? </p>