#9062: Add support for toric lattices
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Reporter: novoselt | Owner: mhampton
Type: enhancement | Status: needs_review
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):
* status: needs_work => needs_review
Old description:
> Toric lattices are ZZ^n^'s with distinction of their roles (in the
> simplest case - standard dual lattices M and N).
>
> Once this patch is finished, it will be the first part of the toric
> varieties framework #8986-#8989, but so far I made it actually on top of
> those modules. Creation of cones and fans seems to work as expected. More
> work is needed on matrix multiplication. Working on it!
New description:
Toric lattices are ZZ^n^'s with distinction of their roles (in the
simplest case - standard dual lattices M and N).
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
--
Comment:
It will probably work without other "prerequisites," but I tested it with
them applied since all got positive review already and hopefully will be
merged soon...
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9062#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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