Timeline for Contracting a rational curve in a Calabi-Yau threefold
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 23, 2014 at 23:29 | history | edited | HenrikRüping | CC BY-SA 3.0 |
typo
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| Sep 23, 2014 at 22:05 | answer | added | Balazs | timeline score: 5 | |
| Sep 18, 2014 at 15:11 | comment | added | user47305 | Ah, you are right, sorry. He proves only local contractibility, using the Grauert criterion. | |
| Sep 18, 2014 at 14:56 | comment | added | Francesco Polizzi | I do not have Reid's paper on my desk now, but are you sure that this is not a local statement (like Laufer's one contained in my answer)? The OP asks whether there are examples of such a contraction in a Calabi-Yau threefold: this is a question of global nature, and I do not see a obvious way to answer it by means of a local result. | |
| Sep 18, 2014 at 14:21 | comment | added | user47305 | There is something like this in Reid's "Minimal Models of Canonical Threefolds" -- if I read it right the answer is yes, and the singularity is (locally analytically) $xy = z^2-t^{2n}$. This is remark 5.13(b). Not posting as an answer, since I haven't really read the rest of the paper and could be misunderstanding. | |
| Sep 18, 2014 at 10:07 | answer | added | abx | timeline score: 0 | |
| Sep 18, 2014 at 8:46 | answer | added | Francesco Polizzi | timeline score: 1 | |
| Sep 18, 2014 at 6:59 | review | First posts | |||
| Sep 18, 2014 at 7:24 | |||||
| Sep 18, 2014 at 6:55 | history | asked | Ian | CC BY-SA 3.0 |