#11385: Orbit closure as toric variety
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   Reporter:  vbraun              |          Owner:  AlexGhitza  
       Type:  enhancement         |         Status:  needs_review
   Priority:  major               |      Milestone:  sage-4.7.2  
  Component:  algebraic geometry  |       Keywords:  sd31        
Work_issues:                      |       Upstream:  N/A         
   Reviewer:  Andrey Novoseltsev  |         Author:  Volker Braun
     Merged:                      |   Dependencies:              
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Changes (by vbraun):

  * milestone:  sage-4.7.1 => sage-4.7.2


Comment:

 Making it work properly with quotient lattices is a noble goal, of course.

 Another question is where to put the method to restrict line bundles from
 the ambient to the orbit closure. Because of the quotient lattice it is
 not literally pull-back by a toric morphism. I tend to think that
 `ToricOrbitClosure` should derive from `ToricVariety` and add a
 `restrict_divisor()` method.

 Though as far as this ticket is concerned, I think we all agree that there
 should be a `.orbit_closure(cone)` method for toric varieties that returns
 a toric variety. So maybe we should merge this ticket before improving the
 presentation of the resulting toric variety.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11385#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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