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Timeline for When are Hilbert schemes smooth?

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Feb 11, 2010 at 0:28 comment added James O in the same line as example (1): if $X$ is a projective surface and $\rm{H}^1(\mathcal{O}_X = 0$ then its Hilbert schemes of curves are smooth. So, the family of surfaces with $b_1(X) = 0$ yields examples of smooth Hilbert schemes.
Oct 15, 2009 at 21:00 vote accept Kevin H. Lin
Oct 11, 2009 at 18:39 history answered Daniel Erman CC BY-SA 2.5