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Nov 16, 2009 at 1:19 comment added Tony Pantev Well, you can't just see it in terms of the singular K3 but you can see it as the kernel of the specialization map $H_{2}(X_{t}) \to H_{2}(X_{0})$. This specialization map is induced from the retraction of the tubular neighborhood of $X_{0}$ onto $X_{0}$.
Nov 10, 2009 at 22:00 comment added Ilya Nikokoshev "These surfaces are of finite size from the metric point of view" -- thanks, I missed that! "You can also describe these singular K3s as complex ... " -- I was thinking, maybe there's a better way, but that's fine too! "s stalk at x will be the root lattice of the ADE group." -- sounds interesting, can it be seen from H^2(singular K3)?
Nov 10, 2009 at 13:34 history answered Tony Pantev CC BY-SA 2.5