#8986: Add support for convex rational polyhedral cones
----------------------------------+-----------------------------------------
Reporter: novoselt | Owner: mhampton
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.4.3
Component: geometry | Keywords:
Author: Andrey Novoseltsev | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Changes (by novoselt):
* cc: vbraun (added)
Old description:
> This patch is a part of the following series adding support for
> cones/fans and toric varieties to Sage:
>
> Prerequisites:
>
> #8675 - Remove {{{AmbientSpace._constructor}}} and fix consequences
>
> #8682 - Improve {{{AlgebraicScheme_subscheme.__init__}}} and
> {{{AmbientSpace._validate}}}
>
> #8694 - Improve schemes printing and !LaTeXing
>
> #8934 - Trivial bug in computing faces of non-full-dimensional lattice
> polytopes
>
> #8936 - Expose facet inequalities for lattice polytopes
>
> #8941 - {{{_latex_}}} and {{{origin}}} for lattice polytopes
>
> Main patches adding new modules:
>
> #8986 - Add support for convex rational polyhedral cones
>
> #8987 - Add support for rational polyhedral fans
>
> #8988 - Add support for toric varieties
>
> #8989 - Add support for Fano toric varieties
>
> Everything was tested on sage.math using sage-4.4.2.rc0.
>
> Known issues:
>
> - Applying patch for toric varieties leads to a doctest error in
> {{{sage.symbolic.random_tests}}}, which I don't quite understand,
> especially since this patch just adds a new module! The documentation of
> the failing function says "This function will often raise an error
> because it tries to create an erroneous expression." I am not sure if
> this means that its doctest may cause these errors.
>
> - The last two patches show a doctest coverage error about
> {{{TestSuite}}}. This doctest does not work yet for other schemes and
> therefore should not be expected to work for these derived classes (and
> indeed - it does not work). According to
> http://groups.google.com/group/sage-
> devel/browse_thread/thread/a42ace80078373b4
> this should not be an obstacle to include these patches.
New description:
This patch is a part of the following series adding support for cones/fans
and toric varieties to Sage:
Prerequisites:
#8675 - Remove {{{AmbientSpace._constructor}}} and fix consequences
#8682 - Improve {{{AlgebraicScheme_subscheme.__init__}}} and
{{{AmbientSpace._validate}}}
#8694 - Improve schemes printing and !LaTeXing
#8934 - Trivial bug in computing faces of non-full-dimensional lattice
polytopes
#8936 - Expose facet inequalities for lattice polytopes
#8941 - {{{_latex_}}} and {{{origin}}} for lattice polytopes
Main patches adding new modules:
#9062 - Add support for toric lattices
#8986 - Add support for convex rational polyhedral cones
#8987 - Add support for rational polyhedral fans
#8988 - Add support for toric varieties
#8989 - Add support for Fano toric varieties
Everything was tested on sage.math using sage-4.4.2.rc0.
--
Comment:
New version of the patch depends on #9062 and actually makes some
improvements to toric lattices. Switch of caching technique to allow
efficient extension of class hierarchy is still pending.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8986#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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