#8972: Inversion and fraction fields for power series rings
-----------------------------------------------+----------------------------
 Reporter:  SimonKing                          |         Owner:  AlexGhitza     
                     
     Type:  defect                             |        Status:  needs_work     
                     
 Priority:  major                              |     Milestone:  sage-4.4.4     
                     
Component:  algebra                            |    Resolution:  fixed          
                     
 Keywords:  power series ring, fraction field  |        Author:  Simon King     
                     
 Upstream:  N/A                                |      Reviewer:  Robert 
Bradshaw                     
   Merged:                                     |   Work_issues:  trouble with 
schemes/elliptic_curves
-----------------------------------------------+----------------------------
Changes (by SimonKing):

  * work_issues:  => trouble with schemes/elliptic_curves


Comment:

 Hi Mike!

 That probably means that the elliptic curves code expects the result of a
 division of two power series to be another power series. But now, the
 division yields a Laurent series.

 I see two possibilities to proceed:

  1. Search for all occurences of power series in Sage, see if a division
 occurs, and change it so that things still work.
  2. Change/extend the methods provided by Laurent series so that they
 match those provided by power series. In that way, the code in
 schemes/elliptic_curves still has a chance to work.

 I'll see what I can do.

 Best regards,
 Simon

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8972#comment:25>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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