Timeline for Are morphisms from affine schemes to arbitrary schemes affine morphisms?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 8, 2011 at 6:18 | comment | added | Wanderer | Your right that it does not help to construct a counterexample, but on the other hand it is interesting from the perspective of this question, since it says that any quasicompact quasiseparated morphism of schemes factors through an affine morphism. | |
| Sep 8, 2011 at 2:46 | comment | added | Emerton | Dear Wanderer, I don't see that it is related to Stein factorization. E.g. this is true whenever the target scheme is separated (see e.g. Jacob's answer below), and so in particular in the world of projective schemes over a field, which is where one might typically apply the notions of Stein factorization. Am I missing something? Best wishes, Matthew | |
| Sep 8, 2011 at 0:24 | vote | accept | Erick Knight | ||
| Sep 7, 2011 at 23:33 | answer | added | Jacob Lurie | timeline score: 47 | |
| Sep 7, 2011 at 23:21 | answer | added | Georges Elencwajg | timeline score: 36 | |
| Sep 7, 2011 at 23:17 | comment | added | Wanderer | I don't think this holds. You might want to read about Stein factorization. | |
| Sep 7, 2011 at 22:44 | history | asked | Erick Knight | CC BY-SA 3.0 |