#5765: [with patch, needs review] improve doctest coverage for
schemes/generic/algebraic_scheme.py
--------------------------------+-------------------------------------------
 Reporter:  AlexGhitza          |       Owner:  AlexGhitza              
     Type:  defect              |      Status:  assigned                
 Priority:  major               |   Milestone:  sage-3.4.2              
Component:  algebraic geometry  |    Keywords:  doctest algebraic scheme
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Comment(by cremona):

 While I am waiting for 3.4.2.alpha0 to build (before which I cannot test
 the new patch!) I want to raise an issue.

 I agree that the one and only function in ell_field was redundant, since
 the general machinery for checking that a point lies on a scheme can do
 what it does.  So I am happy with that.

 But do we really want to eliminate the *class* EllipticCurve_field?    The
 design seems to be as follows.  In principle one can define elliptic
 curves over general base schemes.  The most important special case is
 elliptic curves over a field.  At the moment Sage has essentially no
 support for an elliptic curve over a non-field, but that might change.  So
 at present,  all the generic stuff in ell_generic is quite likely to only
 work for curves over fields anyway, and that is where anything relevant to
 general fields is put.  Might it not be a better plan to look carefully
 through ell_generic, see if there is anything there which should really
 only be for curves over fields, and move that to ell_field (keeping the
 EllipticCurve_field class)?

 Just a thought -- at least a move such as the one this patch does deserves
 a little more public debate ;)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5765#comment:15>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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