Timeline for Can any local complete intersection subvariety be an intersection of smooth hypersurfaces
Current License: CC BY-SA 3.0
8 events
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| S May 9, 2017 at 2:18 | history | suggested | Dominic Wynter | CC BY-SA 3.0 |
improved formatting
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| May 9, 2017 at 1:26 | review | Suggested edits | |||
| S May 9, 2017 at 2:18 | |||||
| Dec 14, 2012 at 12:16 | comment | added | rita | @Jason: I had not seen your comment earlier. Unfortunately, I have no idea. | |
| Nov 15, 2012 at 15:21 | comment | added | Jason Starr |
@Rita: That is what I was thinking as well, but I cannot think of a local complete intersection with a singular point of embedding dimension $2m+1$ for which I can prove the same is true after a generic deformation (I have been trying to produce "rigid" nonreduced structures on a smooth scheme of dimension $m$, but the computations are beyond me). Since you are an expert on this, are there configurations of subschemes (e.g., configurations of degree 6 Del Pezzo surfaces in $\mathbb{P}^5$) that are LCI of embedding dimension $2m+1$ and also "rigid"?
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| Nov 15, 2012 at 15:10 | comment | added | rita | A necessary condition is that the tangent space at any point $P\in Z$ has dimension $\le 2m$. | |
| Nov 15, 2012 at 14:23 | answer | added | Dustin Cartwright | timeline score: 1 | |
| Nov 15, 2012 at 11:40 | history | edited | Naga Venkata | CC BY-SA 3.0 |
added 195 characters in body
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| Nov 15, 2012 at 11:31 | history | asked | Naga Venkata | CC BY-SA 3.0 |