#13672: resultant over GF(q)[t][x] is plain wrong!!!
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Reporter: zimmerma | Owner: malb
Type: defect | Status: new
Priority: critical | Milestone: sage-5.6
Component: commutative algebra | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Changes (by jdemeyer):
* priority: blocker => critical
* milestone: sage-5.5 => sage-5.6
Comment:
Replying to [comment:6 zimmerma]:
> Martin, it would be better to understand why {{{x}}} is special first.
I'll add the authors of
> {{{polynomial_element.pyx}}} in cc.
`x` is special because PARI has a concept of "variable" priority, where
`x` has highest priority.
But it seems that PARI/GP can compute resultants w.r.t. a different
variable:
{{{
gp> ?polresultant
polresultant(x,y,{v},{flag=0}): resultant of the polynomials x and y, with
respect to the main variables of x and y if v is omitted, with
respect to the variable v otherwise. flag is optional, and can be 0:
default, uses either the subresultant algorithm, a modular algorithm
or Sylvester's matrix, depending on the inputs; 1 uses Sylvester's matrix
(should always be slower than the default).
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13672#comment:7>
Sage <http://www.sagemath.org>
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