I have recently opened track ticket 10799 solving some problems with
coumputing resultants in univariate polynomial rings. Now i plan to
implement the .discriminant() method for polynomials in multivariable
rings. But i have a doubt now. The method .resultant() returns a
polynomial in the same ring in the case of multivariable polynomials.
But the same method returns an object in the base ring for the case of
univariate polynomials (and also does de .discriminant() )

I think that a unified criterion would be desirable. And i would
prefear  the one that now exists for univariate polynomials.

So, my question is: do you think that if f and g are polynomials in
K[x,y,z], f.resultant(g,y) should live in K[x,y,z] or in K[x,z]? And
the same question for f.discriminant()

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