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Timeline for When is a blow-up non-singular?

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Jun 12, 2022 at 9:36 history edited Martin Sleziak CC BY-SA 4.0
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S Nov 5, 2018 at 21:10 history suggested user2831784 CC BY-SA 4.0
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Nov 3, 2010 at 5:31 vote accept jlk
Apr 27, 2010 at 16:10 comment added jlk @Hailong Dao, Thanks! My previous comment summarizing the paper was inaccurate. The authors prove that if $Z$ is a complete intersection, then the blow-up along $Z$ is non-singular iff $Z$ is non-singular (Thm 2.1). They give similar results for other special cases. For example, they prove that the blow-up of $A^3$ along a non-degenerate monomial curve is singular (Cor. 3.3). They also have results about blowing up determinantal loci.
Apr 16, 2010 at 22:58 vote accept jlk
Nov 3, 2010 at 5:31
Apr 16, 2010 at 17:03 history answered Hailong Dao CC BY-SA 2.5