Timeline for flatness in complex analytic geometry
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| May 6, 2013 at 7:18 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
added 16 characters in body
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| Sep 14, 2011 at 10:22 | comment | added | Georges Elencwajg | I really appreciate the kind words, Donu, especially from you. Thanks! | |
| Sep 14, 2011 at 9:16 | comment | added | Georges Elencwajg | Dear ulrich, you are right of course: $\mathbb C[\epsilon ]/(\epsilon^2)$ is flat, over $\mathbb C$, like any algebra over a field! I have reversed the arrow and since I was at it, added a short justification of non-flatness. Sincere thanks for your attention, ulrich! | |
| Sep 14, 2011 at 9:13 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
Completely modified b)
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| Sep 14, 2011 at 8:47 | comment | added | Donu Arapura | Georges, I wish I had this list when I was a student. But at least I have it now. | |
| Sep 14, 2011 at 5:08 | comment | added | naf | I think the map in b) is flat. Perhaps the arrow should be reversed? | |
| Sep 14, 2011 at 1:02 | comment | added | Georges Elencwajg | Dear Qing, thank you for the kind words and the corrections. Actually, even if $Y$ were connected, what I wrote in a) would have been false for $X=Y$. So in I have corrected my answer by explicitly requesting that the closed set $Y$ not be open . | |
| Sep 14, 2011 at 0:54 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
made corrections suggested by Qing Liu
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| Sep 14, 2011 at 0:27 | comment | added | Qing Liu | Very nice and complete answer ! (add $Y$ connected in a) and h)). | |
| Sep 13, 2011 at 23:07 | comment | added | Georges Elencwajg | @Mohammad: I have added a bibliography. Point d) is proved in Fischer's book. | |
| Sep 13, 2011 at 23:04 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
added 173 characters in body
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| Sep 13, 2011 at 22:59 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
added 440 characters in body
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| Sep 13, 2011 at 22:28 | comment | added | Mohammad Farajzadeh-Tehrani | can give a refernce for (d) or prove it yourself. It is really strong. | |
| Sep 13, 2011 at 22:21 | history | answered | Georges Elencwajg | CC BY-SA 3.0 |