#9245: Add library of toric varieties
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Reporter: vbraun | Owner: AlexGhitza
Type: enhancement | Status: needs_work
Priority: major | Milestone:
Component: algebraic geometry | Keywords:
Author: Volker Braun | Upstream: N/A
Reviewer: Andrey Novoseltsev | Merged:
Work_issues: |
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Old description:
> Here is some initial shot at constructing toric varieties "by name". It
> might be useful to write doctests for the toric varieties. Once the dust
> has settled we might want to load pickled objects, but for now we
> construct the fans from generating cones.
>
> This patch relies on
> * #8988 (toric varieties)
> * #8989 (CPRFanos)
New description:
Here is some initial shot at constructing toric varieties "by name". It
might be useful to write doctests for the toric varieties. We construct
the fans from generating cones and store them in a dictionary to expedite
repeated requests.
This patch relies on
* #8988 (toric varieties)
* #8989 (CPR-Fano toric varieties)
--
Comment(by novoselt):
One potential drawback to be aware of: for CPR-Fano toric varieties rays
will have to be given as indices of points of the corresponding lattice
polytope with vertices in front. You do have control over the order of
vertices, but points are listed in the way in which PALP returns them. Of
course, it matters only for (partially) resolved varieties, when you do
need to have rays corresponding to points.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9245#comment:12>
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