#15996: Allow general base rings for WeierstrassForm
-------------------------------------+-------------------------------------
       Reporter:  jkeitel            |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.2
      Component:  algebraic          |   Resolution:
  geometry                           |    Merged in:
       Keywords:  toric,             |    Reviewers:
  weierstrass                        |  Work issues:
        Authors:  Jan Keitel         |       Commit:
Report Upstream:  N/A                |  3c0999f8fe80473c74afb9b7500874cf21ece17b
         Branch:                     |     Stopgaps:
  u/jkeitel/weierstrass_general_rings|
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by jkeitel):

 Hi Volker,

 without the patch, the following still does not work:

 {{{
 sage: P.<a,b> = QQ[]
 sage: R.<x,y,z> = P[]
 sage: cubic = x^3 + a*y^3 + a^2*z^3
 sage: cubic // x^3
 ---------------------------------------------------------------------------
 AttributeError                            Traceback (most recent call
 last)
 <ipython-input-11-bf6b2864fe25> in <module>()
 ----> 1 cubic // x**Integer(3)

 /home/pcl337b/jkeitel/sage/sage/local/lib/python2.7/site-
 packages/sage/rings/polynomial/multi_polynomial_element.pyc in
 __floordiv__(self, right)
    1416             for c,m in self:
    1417                 t = c*m
 -> 1418                 if denC.divides(c) and P.monomial_divides(denM,
 m):
    1419                     ret += P.monomial_quotient(t, right,
 coeff=True)
    1420             return ret

 /home/pcl337b/jkeitel/sage/sage/local/lib/python2.7/site-
 packages/sage/structure/parent.so in
 sage.structure.parent.Parent.__getattr__ (sage/structure/parent.c:7221)()

 /home/pcl337b/jkeitel/sage/sage/local/lib/python2.7/site-
 packages/sage/structure/misc.so in
 sage.structure.misc.getattr_from_other_class
 (sage/structure/misc.c:1687)()

 AttributeError: 'MPolynomialRing_polydict_with_category' object has no
 attribute 'monomial_divides'
 }}}

 Unfortunately, I don't know enough about the internals of (multivariate)
 rings in Sage. Is there a better cast than the one in #13048 that one
 could make to get this to work, too?

 Best,
 Jan

--
Ticket URL: <http://trac.sagemath.org/ticket/15996#comment:4>
Sage <http://www.sagemath.org>
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