Timeline for Points on algebraic stacks
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 11, 2009 at 21:25 | comment | added | Mike Skirvin | Thanks for the correction, Alberto. Looks like things were cleared up in the answer above, so I think I'm just going to leave my answer as is. | |
| Dec 11, 2009 at 20:58 | comment | added | Alicia Garcia-Raboso | @Mike: Closed points do not necessarily have residue fields that are algebraically closed: e.g., Spec Z/p -> Spec Z is the a closed point, but Z/p is not algebraically closed! | |
| Dec 11, 2009 at 19:05 | comment | added | Mike Skirvin | I agree that they must mean the closure. | |
| Dec 11, 2009 at 19:04 | comment | added | Daniel Larsson | Although, come to think about it, why should closed points be defined as $Spec(K)$-valued points where $K$ is algebraically closed? This is not the case for schemes. | |
| Dec 11, 2009 at 18:45 | comment | added | Daniel Larsson | Ok, I can buy this explaination, if that is what they mean. My main problem though was, given this, what is the $\{x\}$ and how can $y$ belong to this set (see 5.5). They must surely mean $\overline{\{x\}}$ (the closure)? | |
| Dec 11, 2009 at 18:33 | history | answered | Mike Skirvin | CC BY-SA 2.5 |