#8988: Add support for toric varieties
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   Reporter:  novoselt            |       Owner:  AlexGhitza  
       Type:  enhancement         |      Status:  needs_review
   Priority:  major               |   Milestone:  sage-4.4.4  
  Component:  algebraic geometry  |    Keywords:              
     Author:  Andrey Novoseltsev  |    Upstream:  N/A         
   Reviewer:                      |      Merged:              
Work_issues:                      |  
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Comment(by vbraun):

 I've read through the code and it looks good.

 One minor issue is that the `_repr_()` is not very descriptive. For
 example
 {{{
 sage: p0 = P1xP1.affine_patch(0)
 sage: p0
 Toric variety of dimension 2
 sage: p0.embedding_morphism()
 Scheme morphism:
   From: Toric variety of dimension 2
   To:   Toric variety of dimension 2
   Defn: Defined on coordinates by sending [z0 : z3] to
         [z0 : 1 : 1 : z3]
 }}}
 Maybe we could return `Toric variety (dim=2, #cones=4)` or so and include
 the number of generating cones to be able to distinguish the different
 varieties.

 Apart from that I'd be happy to review it positively once the rewritten
 `Fan` is incorporated!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8988#comment:10>
Sage <http://www.sagemath.org>
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