#14353: Factor toric morphism into surjective and generically injective
----------------------------------------------------+-----------------------
       Reporter:  vbraun                            |         Owner:  
AlexGhitza                      
           Type:  enhancement                       |        Status:  
needs_work                      
       Priority:  major                             |     Milestone:  sage-5.9  
                      
      Component:  algebraic geometry                |    Resolution:            
                      
       Keywords:  toric                             |   Work issues:  morphism 
composition            
Report Upstream:  N/A                               |     Reviewers:  Andrey 
Novoseltsev, Volker Braun
        Authors:  Volker Braun, Andrey Novoseltsev  |     Merged in:            
                      
   Dependencies:                                    |      Stopgaps:            
                      
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Comment (by vbraun):

 I think we shouldn't do more than implement the factorization in this
 ticket, fixing composition of morphisms is another task. Though right now
 this doctest fails, maybe you want to mark it as `# known bug`?
 {{{
 sage -t sage/schemes/toric/morphism.py
 **********************************************************************
 File "sage/schemes/toric/morphism.py", line 544, in
 sage.schemes.toric.morphism.SchemeMorphism_fan_toric_variety.factor
 Failed example:
     prod(phi.factor()) == phi
 Expected:
     True
 Got:
     False
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14353#comment:8>
Sage <http://www.sagemath.org>
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