Timeline for Linear projection from a point and local complete intersection
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 13, 2015 at 15:57 | vote | accept | Ron | ||
| Apr 5, 2015 at 23:11 | answer | added | Will Sawin | timeline score: 0 | |
| Apr 4, 2015 at 9:54 | history | edited | Ron | CC BY-SA 3.0 |
added 729 characters in body
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| Apr 3, 2015 at 20:05 | comment | added | shamovic | You are right, though this curve is singular, it is not a counter example to your question. I have misunderstood it, sorry | |
| Apr 3, 2015 at 19:34 | comment | added | Ron | May be I am wrong, but isn't this curve smooth in $\mathbb{P}^3$? Also, I am asking something a bit different. In your setting I am assuming that I have a local complete intersection curve, $C$ in $\mathbb{P}^3$. The question is whether the closure of $\phi^{-1}(C)$ in $\mathbb{P}^4$ is a local complete intersection? Note that the preimage is of higher dimension. | |
| Apr 3, 2015 at 19:26 | comment | added | shamovic | As far as I know, we have the following rational curve $(s^5,s^2 t^3, s t^4, t^5)$ in $\mathbb{P}^3$, it is not a local complete intersection, however it is a linear projection of a smooth curve in $\mathbb{P}^5$. | |
| Apr 3, 2015 at 16:36 | history | asked | Ron | CC BY-SA 3.0 |