Timeline for locally finite + quasi compact vs finite
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| May 10, 2013 at 23:15 | comment | added | Emerton | Dear Joel, I hadn't seen this before, but I wouldn't be surprised if it was hidden somewhere in EGA. (I'm not as familiar with the contents of EGA as I should be.) Best wishes, Matt | |
| May 10, 2013 at 14:59 | history | edited | user9072 |
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| May 10, 2013 at 13:47 | vote | accept | Joël | ||
| May 10, 2013 at 13:36 | comment | added | Joël | Thank you Matt. I saw your proof on math.stackexchange, and it is nice and simple: I feel bad to have missed it. Just out of curiosity: is this result somewhere to be found in the literature? I had looked for it in Hartshorne (and I think it is not there) and in EGA (but then it should be there somewhere, and I must have missed it)... | |
| May 10, 2013 at 5:03 | answer | added | Sausage Roll | timeline score: 4 | |
| May 10, 2013 at 4:45 | comment | added | Emerton | Dear Joel, If $f$ is not separated, then I think the answer is no; e.g. if we take the affine line with the doubled origin, then there is a natural morphism from this to the affine line (identifying the two origins) which is locally finite and q.c., but not finite (since not affine, indeed not separated). If $f$ is separated, then the answer is yes, see this answer: math.stackexchange.com/a/387260/221 Best wishes, Matt | |
| May 10, 2013 at 2:47 | history | edited | Joël | CC BY-SA 3.0 |
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| May 10, 2013 at 2:33 | history | asked | Joël | CC BY-SA 3.0 |