#18613: Errors with is_isomorphic() for trivial cones
-------------------------------------+-------------------------------------
       Reporter:  mjo                |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.9
      Component:  geometry           |   Resolution:
       Keywords:  cone               |    Merged in:
        Authors:  Andrey             |    Reviewers:
  Novoseltsev                        |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  c02beeea863a04328e39dd88b476ee1cfdc8fefa
  u/novoselt/errors_with_is_isomorphic___for_trivial_cones|     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by novoselt):

 Yet another bug uncovered by this ticket. In clean 6.9.beta0 I get
 {{{
 sage:             sage: polytope = LatticePolytope(
 ....:             ...
 [(-3,0,-1,-1),(-1,2,-1,-1),(0,-1,0,0),(0,0,0,1),(0,0,1,0),
 ....:             ...        (0,1,0,0),(0,2,-1,-1),(1,0,0,0),(2,0,-1,-1)])
 sage:             sage: coarse_fan = FaceFan(polytope)
 sage:             sage: P2 = toric_varieties.P2()
 sage:             sage: proj24 = matrix([[0,0],[1,0],[0,0],[0,1]])
 sage: proj24
 [0 0]
 [1 0]
 [0 0]
 [0 1]
 sage: proj24.pivots()
 (0, 1)
 sage:             sage: fm = FanMorphism(proj24, coarse_fan, P2.fan(),
 subdivide=True)
 sage: fm.matrix()
 [0 0]
 [1 0]
 [0 0]
 [0 1]
 sage: fm.matrix().pivots()
 (0, 1, 2, 4)
 }}}
 so pivots are obviously screwed up somewhere. With my changes this affects
 the rank computation as well. Now to figure out the fix...

--
Ticket URL: <http://trac.sagemath.org/ticket/18613#comment:15>
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