#17324: implement eq and ne for affine morphisms
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       Reporter:  bhutz               |        Owner:  bhutz
           Type:  defect              |       Status:  needs_review
       Priority:  minor               |    Milestone:  sage-6.4
      Component:  algebraic geometry  |   Resolution:
       Keywords:                      |    Merged in:
        Authors:  Ben Hutz            |    Reviewers:
Report Upstream:  N/A                 |  Work issues:
         Branch:                      |       Commit:
   Dependencies:                      |     Stopgaps:
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Changes (by {'newvalue': u'Ben Hutz', 'oldvalue': ''}):

 * status:  new => needs_review
 * author:   => Ben Hutz


Old description:

> Currently the following code fails because the domains don't match up.
>
> {{{
> P.<x,y,z> = ProjectiveSpace(QQ,2)
> H=Hom(P,P)
> f = H([x^2 - 2*x*y + z*x, z^2 -y^2 , 5*z*y])
> f.dehomogenize(2).homogenize(2)==f
> }}}
>
> The fix is to use projective embedding and currently it also doesn't take
> into account the possibility of a different domain and codomain.

New description:

 Currently the following code fails because eq is inherited from somewhere
 else.

 {{{
 P.<x,y,z> = ProjectiveSpace(QQ,2)
 H=Hom(P,P)
 f = H([x^2 - 2*x*y + z*x, z^2 -y^2 , 5*z*y])
 f.dehomogenize(2).homogenize(2)==f
 }}}

 Actually, it seems that eq and ne are not well done in projective_morphism
 either (the doc tests test the wrong functionality and it returns an error
 if the coordinates rings are different).

--

--
Ticket URL: <http://trac.sagemath.org/ticket/17324#comment:1>
Sage <http://www.sagemath.org>
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