#20676: Projective closure and affine patches for algebraic curves
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       Reporter:  gjorgenson         |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  minor              |    Milestone:  sage-7.3
      Component:  algebraic          |   Resolution:
  geometry                           |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Grayson Jorgenson  |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  b3002ef28b0b1f9ae39b1222c446625037420db9
  u/gjorgenson/ticket/20676          |     Stopgaps:
   Dependencies:                     |
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Comment (by mmarco):

 I have two questions:

 1) Are you sure you really need to compute the groebner basis to compute
 the projective closue? If I am not missing something, just homogenizing
 the generators, you should get the generators of the projective ideal.

 2) I think it would be better to keep the names of the variables when we
 compute the affine patches (or at least, to have an option to do so). It
 can be confusing to the user to force a change in the name of the
 coordinates. An option to choose the names of the new variables in the
 projective closure would be nice too.

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Ticket URL: <http://trac.sagemath.org/ticket/20676#comment:3>
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