#13046: Equimultiple liftings of curves over finite fields
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Reporter: minz | Owner: AlexGhitza
Type: enhancement | Status: positive_review
Priority: minor | Milestone: sage-5.13
Component: algebraic | Resolution:
geometry | Merged in:
Keywords: deformation | Reviewers: William Stein, Max
theory, plane curves | Leiblich
Authors: Moritz Minzlaff | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: #12995 |
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Description changed by jdemeyer:
Old description:
> 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.
>
> Apply
> [http://trac.sagemath.org/sage_trac/attachment/ticket/13046/trac_13046_v3.patch
> trac_13046_v3.patch]
New description:
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.
Apply [attachment:trac_13046_v3.patch]
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Ticket URL: <http://trac.sagemath.org/ticket/13046#comment:11>
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