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 |