#10529: dimension() and is_smooth() for algebraic subschemes of toric varieties
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   Reporter:  vbraun              |       Owner:  AlexGhitza  
       Type:  enhancement         |      Status:  needs_review
   Priority:  major               |   Milestone:  sage-4.6.2  
  Component:  algebraic geometry  |    Keywords:              
     Author:  Volker Braun        |    Upstream:  N/A         
   Reviewer:  Andrey Novoseltsev  |      Merged:              
Work_issues:                      |  
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Comment(by novoselt):

 I am having second thoughts about calling elements of quotient rings. It
 seems dangerous to evaluate the lift without checking that the input is
 acceptable. Given your code for ideal subs, it seems very easy to check
 that the ideal vanishes on the input, although it will potentially add a
 big overhead. How about doing it and providing an option `check=False` for
 turning it off in internal algorithms where the input is already known to
 be valid? (And if lifts have `check` option already, it should be passed
 to them as well.)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10529#comment:14>
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