Timeline for When do infinitesimal deformations lift to global deformations?
Current License: CC BY-SA 3.0
6 events
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| Feb 19, 2012 at 8:18 | comment | added | Naga Venkata | @Emerton: Thanks a lot for the correction. I am looking into the criterion when formal deformations can be turned into true algebraic deformations. This was in the heart of my question although I got it all wrong while formalizing it. I guess the reference for this is FGA (on Grothendieck's existence theorem in formal geometry). | |
| Feb 18, 2012 at 0:49 | comment | added | Emerton | Dear Naga, What does ``the image in $B/(t-a)$ mean? Since you have already imposed $t^2 = 0$, the only value of $a$ such that $t-a$ is not coprime to $t^2$ is $a = 0$. In otherwords, you cannot form the reduction mod $t - a$ unless $a = 0$ ; this is the reason they are called formal, or infinitesimal, deformations. Regards, Matthew | |
| Feb 17, 2012 at 12:28 | comment | added | Donu Arapura | It's probably better to edit your original question to add these comments. | |
| Feb 17, 2012 at 9:34 | history | undeleted | Naga Venkata | ||
| Feb 17, 2012 at 9:34 | history | deleted | Naga Venkata | ||
| Feb 17, 2012 at 9:33 | history | answered | Naga Venkata | CC BY-SA 3.0 |