|
3 | deleted 243 characters in body; edited title | ||
What is an explicit example of a singular affine variety X over a which is finite field over Spec F_p but which does not lift to characteristic zeroa scheme Y which is finite and flat over Spec Z_p?What is an explicit example of a singular affine variety X over a which is finite field F_q over Spec F_p but which does not lift to a scheme Y which is flat over Z_q? Are there any examples of such X which are finite and flat over F_qSpec Z_p? I know lots of examples of smooth projective varieties which do not lift to characteristic zero and, by a theorem of R. Elkik, any smooth affine variety lifts to characteristic zero. |
||||
|
|
2 | added 18 characters in body; edited title | ||
What is an explicit example of a singular affine variety X over a finite field which does not lift to characteristic zero?What is an explicit example of a singular affine variety X over a finite field F_q which does not lift to characteristic zeroa scheme Y which is flat over Z_q? Are there any examples of such X which are finite over F_q? I know lots of examples of smooth projective varieties which do not lift to characteristic zero and, by a theorem of R. Elkik, any smooth affine variety lifts to characteristic zero. |
||||
|
|
1 |
|
||
What is an explicit example of a singular affine variety X over a finite field which does lift to characteristic zero?What is an explicit example of a singular affine variety X over a finite field F_q which does lift to characteristic zero? Are there any examples of such X which are finite over F_q? I know lots of examples of smooth projective varieties which do not lift to characteristic zero and, by a theorem of R. Elkik, any smooth affine variety lifts to characteristic zero.
|
||||
