#9604: Tracker bug for toric varieties
----------------------------------+-----------------------------------------
   Reporter:  vbraun              |          Owner:  AlexGhitza                 
     
       Type:  task                |         Status:  needs_work                 
     
   Priority:  major               |      Milestone:  sage-5.0                   
     
  Component:  algebraic geometry  |       Keywords:  toric geometry             
     
Work_issues:                      |       Upstream:  N/A                        
     
   Reviewer:                      |         Author:  Volker Braun, Andrey 
Novoseltsev
     Merged:                      |   Dependencies:                             
     
----------------------------------+-----------------------------------------
Description changed by novoselt:

Old description:

> This bug tracks the current status of the toric varieties code and the
> interdependence of new patches, which should be applied '''on top of Sage
> 4.7'''. Any (properly ordered) part of positively reviewed patches can be
> merged at any time, there is no need to "bundle tickets."
>
> '''Applied to the current Sage alpha/beta/rc'''
>
>  * #10943: Fan morphism fails on not full-dimensional fans
>  * #10140: Base sage.geometry.cone on the Parma Polyhedra Library (PPL)
>  * #10882: Add kernel fan to fan morphism
>  * #11302: Make it easier to construct a fan from a triangulation
>  * #10023: Compute Hilbert basis of cone
>  * #11200: Add fibration check to `FanMorphism`
>
> '''Positively reviewed:'''
>
>  * #10529: dimension() and is_smooth() for algebraic subschemes of toric
> varieties
>  * #11481: LLL for degenerate matrices crashes
>  * #10540: Spec and patches for singular affine toric varieties /
> algebraic schemes.
>
> These needs-review groups (separated by blank lines) can be applied
> independently on top of the positively reviewed ones:
>
>  * #11392: Toric ideals over fraction fields
>
>  * #11385: Orbit closure as toric variety
>
>  * #11384: Construct the complex of a fan
>
>  * #11400: Add `PointCollection`
>
>  * #11312: Speed up the computation of the Hilbert basis of a cone
>  * #11429: Count integral points without PALP

New description:

 This bug tracks the current status of the toric varieties code and the
 interdependence of new patches, which should be applied '''on top of Sage
 4.7'''. Any (properly ordered) part of positively reviewed patches can be
 merged at any time, there is no need to "bundle tickets."

 '''Applied to the current Sage alpha/beta/rc'''

  * #10943: Fan morphism fails on not full-dimensional fans
  * #10140: Base sage.geometry.cone on the Parma Polyhedra Library (PPL)
  * #10882: Add kernel fan to fan morphism
  * #11302: Make it easier to construct a fan from a triangulation
  * #10023: Compute Hilbert basis of cone
  * #11200: Add fibration check to `FanMorphism`

 '''Positively reviewed:'''

  * #10529: dimension() and is_smooth() for algebraic subschemes of toric
 varieties
  * #11481: LLL for degenerate matrices crashes
  * #10540: Spec and patches for singular affine toric varieties /
 algebraic schemes.
  * #11312: Speed up the computation of the Hilbert basis of a cone

 These needs-review groups (separated by blank lines) can be applied
 independently on top of the positively reviewed ones:

  * #11392: Toric ideals over fraction fields

  * #11385: Orbit closure as toric variety

  * #11384: Construct the complex of a fan

  * #11400: Add `PointCollection`

  * #11429: Count integral points without PALP

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9604#comment:77>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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