On the Gorensteinness of Rees and form rings of almost complete intersections

Abstract

Let A be a Noetherian local ring and p a prime ideal in A. Letand call them, respectively, the Rees ring and the form ring of p. The purpose of this paper is to clarify, provided p is an almost complete intersection in A (cf. (2.1) for definition), when the rings R(p) and G(p) are Gorenstein.