#7954: Defining affine curves in 3D space
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   Reporter:  wjp                 |       Owner:  AlexGhitza
       Type:  defect              |      Status:  needs_work
   Priority:  major               |   Milestone:  sage-4.3.1
  Component:  algebraic geometry  |    Keywords:            
Work_issues:                      |      Author:            
   Upstream:  N/A                 |    Reviewer:            
     Merged:                      |  
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Changes (by was):

  * status:  needs_review => needs_work


Comment:

 Hi,

 I made some important improvements to the patch while refereeing it.
 However, it is clear after looking at this code for a bit that there is a
 *MAJOR* design flaw (which Willem pointed out to me in person).  The flaw
 is this in plane_curve/affine_curve.py:
 {{{
 class AffineSpaceCurve_generic(Curve_generic,
 AlgebraicScheme_subscheme_affine):
     def _repr_type(self):
         return "Affine Space"
 }}}
 However, Curve_generic is very much a *plane* curve:
 {{{
 class Curve_generic(AlgebraicScheme_subscheme):
 ...
     def defining_polynomial(self):
         return self.defining_polynomials()[0]
 }}}

 Thus the *isa* relationship that *must* be satisfied by derivation of
 objects is broken.

 The space curve code must be completely moved out of this directory to the
 appropriate place.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7954#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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