Timeline for Quasi-compactness of irreducible separated scheme locally of finite type
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Dec 27, 2018 at 18:46 | comment | added | dhy | If you require the scheme to be one-dimensional, then I think the answer should be yes, essentially because there will be a scheme parametrizing valuations on the underlying field of fractions... but I need to think a bit to make sure this can actually be made rigorous when you are not necessarily over a field. | |
| Dec 26, 2018 at 16:05 | comment | added | geometer | @dhy what if we require the scheme to be one-dimensional? | |
| Dec 26, 2018 at 16:00 | review | Low quality posts | |||
| Dec 26, 2018 at 16:05 | |||||
| Dec 26, 2018 at 15:52 | comment | added | dhy | No. Let $(S_0,p_0)$ be $(\mathbb{A}^2,(0,0))$. Iteratively define $S_{i+1}$ to be the blow up of $S_i$ along $p_i$ and $p_{i+1}$ to be an arbitrary point on the new exceptional divisor. You can glue all the $S_i-p_i$ into one scheme $S_{\infty}.$ | |
| Dec 26, 2018 at 15:41 | history | asked | geometer | CC BY-SA 4.0 |