Use R ::= QQ[x,y,z,w];
Homogenized(w, x^3-y);
x^3 - yw^2
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Homogenized(w, [x^3-y, x^4-z]);
[x^3 - yw^2, x^4 - zw^3]
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I := Ideal(x^3-y, x^4-z);
-- same as Homogenized5(w, I); Homogenized([w], I);
Homogenized(w, I); -- don't just get the homogenizations of
-- the generators of I
Ideal(x^3 - yw^2, -xy + zw, x^2z - y^2w, y^3 - xz^2)
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Homogenized(w,[[I,y-z^2],z-y^4]);
[[Ideal(x^3 - yw^2, -xy + zw, x^2z - y^2w, y^3 - xz^2), -z^2 + yw], -y^4 + zw^3]
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