#8989: Add support for Fano toric varieties
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   Reporter:  novoselt            |       Owner:  AlexGhitza  
       Type:  enhancement         |      Status:  needs_review
   Priority:  major               |   Milestone:  sage-4.5    
  Component:  algebraic geometry  |    Keywords:              
     Author:  Andrey Novoseltsev  |    Upstream:  N/A         
   Reviewer:  Volker Braun        |      Merged:              
Work_issues:                      |  
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Changes (by vbraun):

  * reviewer:  => Volker Braun


Comment:

 The functionality is fine, but I would prefer to rename some
 methods/variables:
   * `delta` -> `nabla`, `P_Delta` -> `delta` everywhere. The "delta in M,
 nabla in N" notation works much better in ASCII than `\Delta^\circ`.
   * `coordinate_indices` -> `coordinate_name_indices` in order to
 distinguish it better from coordinate_points. A doctest would be nice,
 too.

 In addition to N/M lattice points we now have points of the (dual)
 polytope, yay. What does `point_to_variable()` refer to? At the same time
 I would like to avoid the lengthy `polyhedron_point_to_variable()`, and
 its not easy to find a good name. How about a `nabla_to_variable()` method
 that takes either the index of a nabla-point or actual coordinates of a
 point and returns the corresponding homogeneous coordinate?

 Let me know what you think. After we decide on what to do I'd be happy to
 review it positively.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8989#comment:8>
Sage <http://www.sagemath.org>
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