... 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 ... 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 ... ,yd+1]. Now the intersection of a variety witha hypersurface is interested.VNU. JOURNAL OF SCIENCE, Mathematics - Physics. T.XXI, N04 - 2005THEHYPERSURFACESECTIONS AND POINTS IN UNIFORM POSITIONPham...