#10844: Implemented discriminant for multivariate polynomials
----------------------------+-----------------------------------------------
   Reporter:  mmarco        |       Owner:  AlexGhitza              
       Type:  enhancement   |      Status:  new                     
   Priority:  major         |   Milestone:                          
  Component:  algebra       |    Keywords:  Polynomials Discriminant
     Author:  Miguel Marco  |    Upstream:  N/A                     
   Reviewer:                |      Merged:                          
Work_issues:                |  
----------------------------+-----------------------------------------------

Comment(by dsm):

 In docstring: The variable with respect we compute the discriminant ->
 "with respect to which"?

 Error message when given the zero polynomial:

 {{{
 sage: R.<x,y> = QQ[]
 sage: f = 0*x
 sage: type(f)
 <type
 'sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular'>
 sage: f.discriminant(x)
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /Applications/sage_devel/devel/sage-main/<ipython console> in <module>()

 /Applications/sage_devel/local/lib/python2.6/site-
 packages/sage/rings/polynomial/multi_polynomial_libsingular.so in
 
sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular.discriminant
 (sage/rings/polynomial/multi_polynomial_libsingular.cpp:27499)()

 /Applications/sage_devel/local/lib/python2.6/site-
 packages/sage/rings/polynomial/multi_polynomial_libsingular.so in
 
sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular.coefficient
 (sage/rings/polynomial/multi_polynomial_libsingular.cpp:16283)()

 TypeError: The input degrees must be a dictionary of variables to
 exponents.
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10844#comment:1>
Sage <http://www.sagemath.org>
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