#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:            
     Author:  Volker Braun, Andrey Novoseltsev  |    Upstream:  N/A       
   Reviewer:                                    |      Merged:            
Work_issues:                                    |  
------------------------------------------------+---------------------------
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
> 4.6.alpha1. Any (properly ordered) part of positively reviewed patches
> can be merged at any time, there is no need to "bundle tickets."
>
>   * #9934: Toric divisor class -> divisor lift should be integral
> '''(positive review)'''
>   * #9963: non-nef divisors can have sections, too '''(positive
> review)'''
>   * #10021: Empty `LatticePolytope` fails '''(positive review)'''
>   * #10022: `Cone.is_smooth()` returns wrong answer '''(positive
> review)'''
>   * #9972: Add toric lattice morphisms
>
> Needs more work:
>
>   * #9713: Add the toric Chow group
>   * #9664: Graphical representation of fans (in progress...)
>

> The following two patches will probably become prerequisites at one
> point:
>
>   * #9798: accelerate Polyhedron
>   * #9918: triangulate point configurations
>
> Depending on them:
>
>   * #10023: Compute Hilbert basis of cone

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
 4.6.alpha1. Any (properly ordered) part of positively reviewed patches can
 be merged at any time, there is no need to "bundle tickets."

   * #9934: Toric divisor class -> divisor lift should be integral
 '''(positive review)'''
   * #9963: non-nef divisors can have sections, too '''(positive review)'''
   * #10021: Empty `LatticePolytope` fails '''(positive review)'''
   * #10022: `Cone.is_smooth()` returns wrong answer '''(positive
 review)'''
   * #9664: Graphical representation of fans

 Needs more work:

   * #9972: Add toric lattice morphisms
   * #9713: Add the toric Chow group

 The following two patches will probably become prerequisites at one point:

   * #9798: accelerate Polyhedron
   * #9918: triangulate point configurations

 Depending on them:

   * #10023: Compute Hilbert basis of cone

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9604#comment:24>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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