#10540: Spec and patches for singular affine toric varieties / algebraic schemes
----------------------------------+-----------------------------------------
Reporter: vbraun | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.7.1
Component: algebraic geometry | Keywords:
Work_issues: | Upstream: N/A
Reviewer: Andrey Novoseltsev | Author: Volker Braun
Merged: | Dependencies: #9918, #10525, #10023,
#10529
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Changes (by novoselt):
* reviewer: => Andrey Novoseltsev
* dependencies: => #9918, #10525, #10023, #10529
* milestone: sage-4.7 => sage-4.7.1
Old 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
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
* #9918: triangulate point configurations
* #10023: Compute Hilbert basis of cone
* #10529: dimension() and is_smooth() for algebraic subschemes of toric
varieties
'''Apply'''
1. [attachment:trac_10540_toric_ideals.patch]
1. [attachment:trac_10540_Spec_of_affine_toric_variety.patch]
--
Comment:
From PEP8: "Method definitions inside a class are separated by a single
blank line." While this ticket inserts a bunch of second blank lines ;-)
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10540#comment:5>
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