Timeline for When two k-varieties with the same underlying topological spaces isomorphic?
Current License: CC BY-SA 2.5
10 events
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| Jan 23, 2010 at 22:39 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
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| Jan 23, 2010 at 22:34 | comment | added | Kevin Buzzard | Pete: I am in the habit of deleting comments when the answerer incorporates them completely in their question, so I did. Nice summary! Now we're getting towards a theorem I think. Reduced fibres and maps to a smooth variety sounds plausible to me. | |
| Jan 23, 2010 at 22:29 | history | undeleted | Pete L. Clark | ||
| Jan 23, 2010 at 22:28 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
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| Jan 23, 2010 at 22:13 | history | deleted | Pete L. Clark | ||
| Jan 23, 2010 at 22:11 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
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| Jan 23, 2010 at 22:03 | comment | added | Anweshi | @Pete: It will be more helpful with an explicit example. | |
| Jan 23, 2010 at 22:01 | comment | added | Pete L. Clark | @KB: Thanks, you're absolutely right. I was answering quickly, and the picture in my mind was that the map would still be ramified but for the reason that the fiber was a purely inseparable field extension. But this makes no sense, because if $k$ is perfect there are no purely inseparable field extensions. | |
| Jan 23, 2010 at 21:41 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
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| Jan 23, 2010 at 21:34 | history | answered | Pete L. Clark | CC BY-SA 2.5 |