#21100: division error in normalize_coordinates
-------------------------------------+-------------------------------------
       Reporter:  bhutz              |        Owner:
           Type:  defect             |       Status:  positive_review
       Priority:  minor              |    Milestone:  sage-
      Component:  algebraic          |  duplicate/invalid/wontfix
  geometry                           |   Resolution:
       Keywords:                     |    Merged in:
        Authors:                     |    Reviewers:  Ben Hutz
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by vdelecroix):

 * status:  needs_review => positive_review
 * author:  Ben Hutz =>
 * branch:  u/bhutz/division_error_in_normalize_coordinates =>
 * commit:  88f76f9966e0df58b539a12205f4fb221972796a =>
 * reviewer:  Vincent Delecroix => Ben Hutz


Old description:

> When the gcd is a multivariate polynomial, it does not cancel upon
> scaling
>
> {{{
> R.<a,b>=QQ[]
> P.<x,y,z>=ProjectiveSpace(R,2)
> H=End(P)
> f=H([a*(x+y)*x^2,b*(x+y)*y^2,(x+y)*z^2])
> f.normalize_coordinates()
> }}}
>
> This division can be done through maxima

New description:

 Note: This ticket is now superseded by #21108.

 When the gcd is a multivariate polynomial, it does not cancel upon scaling

 {{{
 R.<a,b>=QQ[]
 P.<x,y,z>=ProjectiveSpace(R,2)
 H=End(P)
 f=H([a*(x+y)*x^2,b*(x+y)*y^2,(x+y)*z^2])
 f.normalize_coordinates()
 }}}

 This division can be done through maxima

--

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Ticket URL: <https://trac.sagemath.org/ticket/21100#comment:22>
Sage <http://www.sagemath.org>
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