sentences:  Let "X" be the subvariety of the four-dimensional affine plane, with coordinates "x,y,z,w", generated by "y"2-"x"3 and "x"4+"xz"2-"w"3.The canonical desingularization of the ideal with these generators would blow up the center "C"0 given by "x"="y"="z"="w"=0.The transform of the ideal in the "x"-chart if generated by "x"-"y"2 and "y"2("y"2+"z"2-"w"3).