#16360: Conversion of function field elements to pari
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Reporter: saraedum | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.3
Component: | Keywords: pari, resultant, function
commutative algebra | field
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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The resultant does not work for function fields if the variable names are
not chosen wisely:
{{{
sage: K.<x> = FunctionField(QQ)
sage: R.<y> = K[]
sage: y.resultant(y+x)
PariError: variable must have higher priority in gtopoly
}}}
The resultant is wrong over extensions of function fields:
{{{
sage: K.<a> = FunctionField(QQ)
sage: R.<b> = K[]
sage: L.<b> = K.extension(b^2-a)
sage: R.<x> = L[]
sage: f=x^2-a
sage: g=x-b
sage: f.resultant(g)
-b + a^2 # should be 0 since f and g have the common root b
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/16360>
Sage <http://www.sagemath.org>
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