#13046: Equimultiple liftings of curves over finite fields
----------------------------------------------------+-----------------------
Reporter: minz | Owner:
AlexGhitza
Type: enhancement | Status:
needs_review
Priority: minor | Milestone: sage-5.1
Component: algebraic geometry | Resolution:
Keywords: deformation theory, plane curves | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: #12995 | Stopgaps:
----------------------------------------------------+-----------------------
Old description:
> 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.
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
[http://trac.sagemath.org/sage_trac/attachment/ticket/13046/trac_13046_v2.patch
trac_13046_v2.patch]
--
Comment (by minz):
Apply
[http://trac.sagemath.org/sage_trac/attachment/ticket/13046/trac_13046_v2.patch
trac_13046_v2.patch]
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13046#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
