#13046: Equimultiple liftings of curves over finite fields
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Reporter: minz | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.1
Component: algebraic geometry | Keywords: deformation theory,
plane curves
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies: #12995
Stopgaps: |
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Let `C` be a plane projective curves over a finite field `k` and `S` a
finite set of `k`-sections of the projective plane. 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 projective plane such that the multiplicity of `C` at the `i`-th
section is the same as the multplicity of the lifting at the lifted
section.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13046>
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