most recent 30 from http://mathoverflow.net 2013-06-19T17:52:23Z http://mathoverflow.net/feeds/question/108747 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/108747/topology-of-k3-as-a-sum-of-two-abelian-fibrations Mohammad F.Tehrani 2012-10-03T20:48:36Z 2012-10-03T21:43:20Z

<p>Let $E$ be a blow-up of $\mathbb{P}^2$ at 9-points in the bases locus of a pencil of elliptic curves (A $T^2$ fibration over $S^2$).</p> <p>K3 surfaces is obtained by removing a fiber from two copies of $E$ and gluing along the boundaries.</p> <p>How do we realize 22 second homology classes of K3, in terms of 10 second homology classes of $E$. I know this is classic but I could not find a reference.</p>