Ask Your Question

FunctionField with more than 1 variable

asked 2017-01-04 15:41:55 +0200

castor gravatar image

I have tried the following to construct an appropriate function field:


as a result I got

TypeError: create_key() got multiple values for keyword argument 'names'

after that I looked for the documentation but only find one variable examples. I also tried a few more versions like


but did not work. Thank for any advice in this direction in advance.

edit retag flag offensive close merge delete

1 Answer

Sort by ยป oldest newest most voted

answered 2017-01-04 15:59:29 +0200

tmonteil gravatar image

This is indeed unfortunate, and the whole source code seems not to allow more than one undeterminate anyway. As a workaround, you can construct F as the fraction field of a polynomial ring:

sage: R.<a,b> = PolynomialRing(QQ) ; R
Multivariate Polynomial Ring in a, b over Rational Field
sage: F = R.fraction_field() ; F
Fraction Field of Multivariate Polynomial Ring in a, b over Rational Field
sage: a+b^2+1/b
(b^3 + a*b + 1)/b
edit flag offensive delete link more


Thank you for the workaround, it helps to compute what I need. There is a small gap at the end, I need to define a polynomial ring over the function field and factor certain polynomials over it. The error message is that it is not implemeted, but I know some factors and I could reduce the problem to a quadratic polynomial.

castor gravatar imagecastor ( 2017-01-04 19:30:45 +0200 )edit

Your Answer

Please start posting anonymously - your entry will be published after you log in or create a new account.

Add Answer

Question Tools

1 follower


Asked: 2017-01-04 15:41:55 +0200

Seen: 852 times

Last updated: Jan 04 '17