#10540: Spec and patches for singular affine toric varieties / algebraic schemes
----------------------------------+-----------------------------------------
   Reporter:  vbraun              |          Owner:  AlexGhitza                 
  
       Type:  enhancement         |         Status:  needs_review               
  
   Priority:  major               |      Milestone:  sage-4.7.1                 
  
  Component:  algebraic geometry  |       Keywords:                             
  
Work_issues:  doctest failures    |       Upstream:  N/A                        
  
   Reviewer:  Andrey Novoseltsev  |         Author:  Volker Braun               
  
     Merged:                      |   Dependencies:  #9918, #10525, #10023, 
#10529
----------------------------------+-----------------------------------------
Changes (by novoselt):

  * work_issues:  => doctest failures


Comment:

 I am getting the following:
 {{{
 novoselt@geom:/disk/scratch/novoselt/sage-4.7.1.alpha2/devel/sage-main$
 ../../sage -t sage/schemes/generic/toric_ideal.py
 sage -t  "devel/sage-main/sage/schemes/generic/toric_ideal.py"
 **********************************************************************
 File "/disk/scratch/novoselt/sage-4.7.1.alpha2/devel/sage-
 main/sage/schemes/generic/toric_ideal.py", line 24:
     sage: IA.ker()
 Expected:
     Free module of degree 3 and rank 1 over Integer Ring
     User basis matrix:
     [ 1 -2  1]
 Got:
     Free module of degree 3 and rank 1 over Integer Ring
     Echelon basis matrix:
     [ 1 -2  1]
 **********************************************************************
 File "/disk/scratch/novoselt/sage-4.7.1.alpha2/devel/sage-
 main/sage/schemes/generic/toric_ideal.py", line 39:
     sage: IA.ker()
 Expected:
     Free module of degree 4 and rank 2 over Integer Ring
     User basis matrix:
     [ 1 -1 -1  1]
     [ 1 -2  1  0]
 Got:
     Free module of degree 4 and rank 2 over Integer Ring
     Echelon basis matrix:
     [ 1  0 -3  2]
     [ 0  1 -2  1]
 **********************************************************************
 File "/disk/scratch/novoselt/sage-4.7.1.alpha2/devel/sage-
 main/sage/schemes/generic/toric_ideal.py", line 298:
     sage: IA.ker()
 Expected:
     Free module of degree 3 and rank 1 over Integer Ring
     User basis matrix:
     [ 1 -2  1]
 Got:
     Free module of degree 3 and rank 1 over Integer Ring
     Echelon basis matrix:
     [ 1 -2  1]
 **********************************************************************
 File "/disk/scratch/novoselt/sage-4.7.1.alpha2/devel/sage-
 main/sage/schemes/generic/toric_ideal.py", line 379:
     sage: IA.ker()
 Expected:
     Free module of degree 3 and rank 1 over Integer Ring
     User basis matrix:
     [ 1 -2  1]
 Got:
     Free module of degree 3 and rank 1 over Integer Ring
     Echelon basis matrix:
     [ 1 -2  1]
 **********************************************************************
 File "/disk/scratch/novoselt/sage-4.7.1.alpha2/devel/sage-
 main/sage/schemes/generic/toric_ideal.py", line 420:
     sage: IA._ideal_quotient_by_variable(R, J0, 0)
 Expected:
     Ideal (z2*z3^2 - z0*z1*z4, z1*z3 - z0*z2,
            z2^2*z3 - z1^2*z4, z1^3*z4 - z0*z2^3)
     of Multivariate Polynomial Ring in z0, z1, z2, z3, z4 over Rational
 Field
 Got:
     Ideal (z2*z3^2 - z0*z1*z4, z2^2*z3 - z1^2*z4, z1^2*z3*z4 -
 z0*z1*z2*z4, z1^4*z4^2 - z0*z1*z2^3*z4) of Multivariate Polynomial Ring in
 z0, z1, z2, z3, z4 over Rational Field
 **********************************************************************
 4 items had failures:
    2 of  26 in __main__.example_0
    1 of   6 in __main__.example_4
    1 of   7 in __main__.example_7
    1 of   8 in __main__.example_8
 ***Test Failed*** 5 failures.
 For whitespace errors, see the file
 /home/novoselt/.sage//tmp/.doctest_toric_ideal.py
          [7.1 s]
 }}}
 Also, it seems that with `-long` option the long test is really long both
 on my machine and on sage.math, although I didn't try any other version of
 Sage but 4.7.1.alpha2. Applying Hilbert cone speed up does not seem to
 help.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10540#comment:11>
Sage <http://www.sagemath.org>
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