Timeline for Lift smooth projective varieties over $\mathbb F_p$ to $\mathbb Z_p$?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 17, 2012 at 8:09 | answer | added | A.E. | timeline score: 7 | |
| May 11, 2012 at 4:05 | comment | added | Chandan Singh Dalawat | Dear Matt, you have become so much of a $p$-adician that you think of $\mathbf{Z}/p^2$ as $\mathbf{Z}_p/p^2$. | |
| May 11, 2012 at 3:55 | comment | added | Emerton | Dear Jakob, There is a celebrated paper of Deligne and Illusie (easily found on MathSciNet) which discusses obstructions to lifting from $\mathbb F_p$ to $\mathbb Z_p/p^2$. Regards, | |
| May 10, 2012 at 23:47 | answer | added | Ravi Vakil | timeline score: 9 | |
| May 9, 2012 at 9:34 | vote | accept | Jakob | ||
| May 8, 2012 at 13:01 | comment | added | Jason Starr | Here is a modified question which comes up from time to time, and which is open to the best of my knowledge. Trivially a smooth projective variety lifts over the Witt vectors if you allow yourself to remove a sufficiently ample Cartier divisor, or equivalently, if you allow yourself to modify your original projective scheme to a new projective scheme (which agrees with the original scheme on a nonempty open). Is the same true for modifications in codimension 2? | |
| May 8, 2012 at 12:08 | comment | added | Chandan Singh Dalawat | Duplicate: mathoverflow.net/questions/25337/… | |
| May 8, 2012 at 12:03 | answer | added | Chandan Singh Dalawat | timeline score: 11 | |
| May 8, 2012 at 11:11 | history | asked | Jakob | CC BY-SA 3.0 |