Timeline for Projective subvarieties are closed?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 27 at 12:29 | comment | added | Misha Verbitsky | Then it follows from the valuative criterion of properness, indeed | |
| Mar 27 at 0:06 | comment | added | psl2Z | @MishaVerbitsky $k$ an arbitrary (algebraically closed) field and $\mathbb{P}^n = \mathbb{P}^n(k)$ with the Zariski topology. Then this doesn't work since all quasi-projective varieties are compact but as the Zariski topology is not Hausdorff this does not imply closedness. Although the projective case is probably analog to the compact case for manifolds. | |
| Mar 26 at 14:40 | comment | added | Misha Verbitsky | Projective subvarieties are compact, and compact things are closed. Though you did not specify the topology, which one do you want? | |
| Mar 23 at 18:09 | review | Close votes | |||
| Mar 29 at 3:02 | |||||
| S Mar 23 at 17:22 | review | First questions | |||
| Mar 23 at 23:22 | |||||
| S Mar 23 at 17:22 | history | asked | psl2Z | CC BY-SA 4.0 |