2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68403We deal with classes of prime ideals whose associated graded ring is isomorphic to the Rees algebra of the conormal module in order to describe the divisor class group of the Rees algebra and to examine the normality of the conormal module.This paper is based on the Ph.D. dissertation of the authorCommutative Algebra13H10, 13B21, 13C20text