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MapleInterface :: integralBasis

integralBasis -- Compute an integral basis of an algebraic function field.

Synopsis

Description

Computes an integral basis in CC(x)[y] of the integral closure of CC[x] in CC(x,y). We consider x as transcendental and y as algebraic. The i-th element of the integral basis has degree i as a polynomial in y. Note that the integral basis will have coefficients in QQ.

-- -*- M2-comint -*- {* hash: -1462873685 *}
i1 : R=QQ[x,y]

o1 = R

o1 : PolynomialRing
i2 : I=ideal(y^8-x^3*(1+x)^5)

              8    8     7      6      5     4    3
o2 = ideal(- x  + y  - 5x  - 10x  - 10x  - 5x  - x )

o2 : Ideal of R

Ways to use integralBasis :

For the programmer

The object integralBasis is a method function.