#10540: Spec and patches for singular affine toric varieties / algebraic schemes
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Reporter: vbraun | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.6.2
Component: algebraic geometry | Keywords:
Author: Volker Braun | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Changes (by vbraun):
* cc: novoselt (added)
* status: new => needs_review
Old description:
> This patch implements
> * the prime spectrum for affine toric varieties.
> * patches for algebraic schemes with singular ambient toric varieties
>
> This uses both the Hilbert basis for cones and the algebraic schemes,
> and, therefore, depends on
> * #10525: move algebraic subschemes of toric varieties to their
> rightful places
> * #10529: dimension() and is_smooth() for algebraic subschemes of toric
> varieties
> * #9918: triangulate point configurations
> * #10023: Compute Hilbert basis of cone
New description:
This patch implements
* the Spec of affine toric varieties.
* patches for algebraic schemes with singular ambient toric varieties
In particular, Sage can now compute the dimension and smoothness for
algebraic subschemes of singular toric varieties as well.
This uses both the Hilbert basis for cones and the algebraic schemes, and,
therefore, depends on
* #10525: move algebraic subschemes of toric varieties to their rightful
places
* #10529: dimension() and is_smooth() for algebraic subschemes of toric
varieties
* #9918: triangulate point configurations
* #10023: Compute Hilbert basis of cone
--
Comment:
For the patch bot:
Depends on #9918, #10023, #10525, #10529
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10540#comment:1>
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