http://mathoverflow.net/questions/59347/why-does-so-much-recent-work-involve-k3-surfaces
http://mathoverflow.net/questions/107960/how-to-compute-the-picard-rank-of-a-k3-surface
arXiv:0912.5299 Chow groups and derived categories of K3 surfaces from arXiv Front: math.CT by Daniel Huybrechts This survey is based on my talk at the conference `Classical algebraic geometry today' at the MSRI. Some new results on the action of symplectomorphisms on the Chow group are added.
nLab page on K3 surfaces