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Timeline for Smoothness of Symmetric Powers

Current License: CC BY-SA 2.5

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Jan 1, 2010 at 20:00 vote accept Charles Siegel
Jan 1, 2010 at 19:56 comment added VA. I misunderstood question 2. I will fix the solution. The previous version proved that $X$ singular implies $Sym^n X$ singular (which is trivial of course).
Jan 1, 2010 at 19:55 history edited VA. CC BY-SA 2.5
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Jan 1, 2010 at 17:08 comment added Charles Siegel So then after using completions (always forget about those...need to work on that) it reduces to affine space, and then symmetric polynomials prove the first claim for the affine line over any field. Now, for the second, you're taking the points to all be distinct, but what about on the diagonals?
Jan 1, 2010 at 4:29 history edited VA. CC BY-SA 2.5
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Jan 1, 2010 at 4:11 history answered VA. CC BY-SA 2.5