#10023: Compute Hilbert basis of cone
--------------------------------+-------------------------------------------
   Reporter:  vbraun            |       Owner:  mhampton    
       Type:  enhancement       |      Status:  needs_review
   Priority:  major             |   Milestone:  sage-5.0    
  Component:  geometry          |    Keywords:              
     Author:  Volker Braun      |    Upstream:  N/A         
   Reviewer:                    |      Merged:              
Work_issues:  doctest failures  |  
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Changes (by vbraun):

  * status:  needs_work => needs_review


Old description:

> The Hilbert basis of a cone is useful for toric geometry since one needs
> to know the generators of "sigma-dual intersect M". This patch implements
> not necessarily reduced generators of a cone and the Hilbert basis.
>
> This patch depends on #9918: triangulate point configurations. See
> tracker bug #9604 for the patch queue/dependencies.

New description:

 The Hilbert basis of a cone is useful for toric geometry since one needs
 to know the generators of "sigma-dual intersect M". This patch implements
 not necessarily reduced generators of a cone and the Hilbert basis.

 This patch depends on #9918: triangulate point configurations. See tracker
 bug #9604 for the patch queue/dependencies.

 The ray order of cones in doctests is written with for the PPL-based cones
 in #10140. Although the resulting Hilbert basis is, strictly speaking,
 correct, the doctests will not pass without #10140.

--

Comment:

 For the trac bot:
 Depends on #9918, #10233, #10039, #10140.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10023#comment:8>
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