Ticket #13046 (needs_review enhancement)
Equimultiple liftings of curves over finite fields
|Reported by:||minz||Owned by:||AlexGhitza|
|Component:||algebraic geometry||Keywords:||deformation theory, plane curves|
|Authors:||Moritz Minzlaff||Merged in:|
Description (last modified by minz) (diff)
Let C be a plane projective curves over a finite field k and S a finite set of k-sections of the curve. It would be nice if Sage could compute a lifting of the plane curve to a p-adic ring R (with finite precision) and liftings of the k-sections to R-sections of the lifted curve such that the multiplicity of C at the i-th section is the same as the multplicity of the lifting at the lifted section.