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Mar 22, 2014 at 22:42 comment added Will Sawin Is there really an example among cubic plane curves? Shouldn't they all have $H^2(X,\mathbb Z)=\mathbb Z$?
Mar 6, 2014 at 16:46 comment added abx Yes, same argument. The exceptions are : curves $(2,2)$ in $\mathbb{P}^3$, surfaces $(2,3)$ in $\mathbb{P}^4$ and $(2,2,2)$ in $\mathbb{P}^5$.
Mar 6, 2014 at 16:16 comment added beginigeb Thanks! Is this also true for smooth complete intersections?
Mar 6, 2014 at 16:01 history answered abx CC BY-SA 3.0