#9972: Add fan morphisms
------------------------------------------------+---------------------------
   Reporter:  novoselt                          |       Owner:  mhampton    
       Type:  enhancement                       |      Status:  needs_review
   Priority:  major                             |   Milestone:  sage-4.6.1  
  Component:  geometry                          |    Keywords:              
     Author:  Andrey Novoseltsev, Volker Braun  |    Upstream:  N/A         
   Reviewer:  Volker Braun, Andrey Novoseltsev  |      Merged:              
Work_issues:                                    |  
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Comment(by vbraun):

 In the aforementioned blow-up example, I get now
 {{{
 sage: f.preimage_cones(f.image_cone(ray))
 (2-d cone of Rational polyhedral fan in 2-d lattice N, 2-d cone of
 Rational polyhedral fan in 2-d lattice N)
 sage: filter(lambda c:f.image_cone(c).is_equivalent(f.image_cone(ray)),
 flatten(domain_fan.cones()))
 [1-d cone of Rational polyhedral fan in 2-d lattice N, 2-d cone of
 Rational polyhedral fan in 2-d lattice N, 2-d cone of Rational polyhedral
 fan in 2-d lattice N]
 sage: ray in f.preimage_cones(f.image_cone(ray))  # should be True
 False
 }}}
 The `preimage_cones` misses the 1-d cone that maps to (in the fan morphism
 sense) the single 2-d cone of the codomain fan.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9972#comment:61>
Sage <http://www.sagemath.org>
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