#16567: Use libsingular for polynomial rings over function fields
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       Reporter:  SimonKing                    |        Owner:
           Type:  enhancement                  |       Status:  new
       Priority:  major                        |    Milestone:  sage-6.3
      Component:  commutative algebra          |   Resolution:
       Keywords:  function field, libsingular  |    Merged in:
        Authors:                               |    Reviewers:
Report Upstream:  N/A                          |  Work issues:
         Branch:                               |       Commit:
   Dependencies:                               |     Stopgaps:
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Changes (by SimonKing):

 * keywords:   => function field, libsingular
 * component:  PLEASE CHANGE => commutative algebra
 * type:  PLEASE CHANGE => enhancement
 * cc: malb (added)


Old description:



New description:

 Singular has polynomial rings over function fields. However, Sage makes no
 use of it:
 {{{
 sage: P.<a> = QQ[]
 sage: F = P.fraction_field()
 sage: type(F['x','y'])
 <class
 
'sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain_with_category'>
 sage: F = FunctionField(QQ,'a')
 sage: type(F['x','y'])
 <class
 
'sage.rings.polynomial.multi_polynomial_ring.MPolynomialRing_polydict_domain_with_category'>
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/16567#comment:1>
Sage <http://www.sagemath.org>
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