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Apr 16, 2019 at 7:13 comment added user137767 @QiaochuYuan but is a K3 surface homotopy-theoretically similar to the projective line (which is what you seem to be implying in your objection to Sasha's objection)?
Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Nov 3, 2014 at 23:57 comment added Marty A new entry in the encyclopedia of integer sequences, perhaps?
Nov 3, 2014 at 21:14 answer added Qiaochu Yuan timeline score: 23
Nov 3, 2014 at 20:57 answer added user25309 timeline score: 24
Nov 3, 2014 at 20:26 comment added Qiaochu Yuan @Sasha: as Reimundo's answer makes clear, homotopy-theoretically a K3 surface behaves very differently from an elliptic curve. In particular, it's rationally hyperbolic, so the dimensions of its rational homotopy groups grow exponentially quickly.
Nov 3, 2014 at 20:14 answer added Reimundo Heluani timeline score: 21
Nov 3, 2014 at 19:56 comment added Sasha But the higher homotopy gorups of an elliptic curve is easy to find, and this is definitely a better analogy for a K3 surface.
Nov 3, 2014 at 19:46 comment added Qiaochu Yuan "Even if the answer isn't known in all degrees..." I already can't tell you all the higher homotopy groups of $\mathbb{CP}^1$!
Nov 3, 2014 at 19:27 history asked David Corwin CC BY-SA 3.0