#10342: Divisor groups and cohomology rings should not make uniqueness decisions
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   Reporter:  novoselt            |       Owner:  AlexGhitza
       Type:  defect              |      Status:  new       
   Priority:  major               |   Milestone:            
  Component:  algebraic geometry  |    Keywords:            
     Author:                      |    Upstream:  N/A       
   Reviewer:                      |      Merged:            
Work_issues:                      |  
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Comment(by novoselt):

 I though about changing `__cmp__`, but the current behaviour is more
 uniform with cones and fans. Besides, I think that it is good to have some
 kind of total order on objects that does not change from session to
 session. In this case the only meaningful option for varieties with
 "everything the same" is to be equal.

 Adding divisors and cohomology classes can be handled via coercion, I
 think, but making schemes and related classes work nicely with coercion
 may require a bit of effort. I definitely want to have it eventually even
 for not equal varieties: e.g. if I extended the base field of `X` by
 adding some coefficients, I want to be able to mix divisors of "the
 original `X`" and the new one. This should work for all schemes, not just
 toric varieties.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10342#comment:4>
Sage <http://www.sagemath.org>
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