... adjoining (v). The polynomial ring in y0, ,ynover k(v)will be denoted by k(v)[y ]. The general linear transformation establishes an isomorphismbetween two polynomials rings k(v )[x]andk(v)[y]whenineverypolynomialofk(v)[y ]the substitutionyi=n3j=0vijxj,i=0, ... polynomial in the vij, and primitive in them, so that f(y0, ,yd+1)isdefined to within a factor in k(u, v). By alinear projective transformation, we can choose f(y0, ,yd+1)sothatitisregularinyd+1. The ... details. Using the notion of Ground-formof an unmixed ideal and results in the specializations of graded modules we will proveTypeset by AMS-TEX25 The hypersurface sections and points in uniform...