#11200: Add fibration check to FanMorphism
----------------------------+-----------------------------------------------
   Reporter:  novoselt      |          Owner:  mhampton          
       Type:  enhancement   |         Status:  needs_review      
   Priority:  major         |      Milestone:  sage-4.7.1        
  Component:  geometry      |       Keywords:  toric             
Work_issues:                |       Upstream:  N/A               
   Reviewer:  Volker Braun  |         Author:  Andrey Novoseltsev
     Merged:                |   Dependencies:  #10140, #10882    
----------------------------+-----------------------------------------------
Changes (by vbraun):

  * reviewer:  => Volker Braun


Comment:

 I like the functionality, but you need to check surjectivity of the map of
 toric varieties, not just the map of vector spaces. The `is_surjective()`
 method should do that but is broken:
 {{{
 sage: P1 = toric_varieties.P1()
 sage: A1 = toric_varieties.A1()
 sage: phi = FanMorphism(matrix([[1]]), A1.fan(), P1.fan())
 sage: phi.is_fibration()
 True
 sage: phi.is_surjective()
 True
 }}}
 But thats neither a fibration nor a surjective map.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11200#comment:3>
Sage <http://www.sagemath.org>
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