Let f (X)= f (X0..... Xd) be a polynomial in C [X0..... Xd], such that the hypersufface H c
Ad+~(C) given by f (X) has an isolated singularity at 0, and let A=~,. 0= C [[Xo..... Xd]]/(f (X)) …

Let A= k [[zl,..., zr]\be the formal power series ring in the variables z, over a field k, and let f= f
(zx,..., zr) be a non-zero non-unit in A. Then we call R= A/{f) the local ring of/In [19] Knorrer …

The first part of this note (sections 1-4) is devoted mainly to the non-specialist reader. It
contains a brief introduction to the concept of the Auslander-Reiten quiver of an isolated …

0.1. H. Kn/Srrer [Kn6] showed the following property of the local ring R of an isolated simple
hypersurface singularity: There are only finitely many isomorphism classes of …

Let (R, m) be a complete Cohen-Macaulay isolated singularity over a field/(which is either
perfect or [/{: f {Pj< oo if p:= char/{> 0. According to Dieterich [Di] and [Yo] Ch. 6 (see also …

This paper deals with the problem of characterizing quasihomogeneous isolated
singularities. The history begins in 1971 with the beautiful result of Saito [22]: an isolated …

790 STEVEN D. CUTKOSKY AND HEMA SRINIVASAN of R. Let^ denote j (I)-adic
completion. Then there exists an integer" a" de only on I, such that if J is any other reduced …

Throughout this note R is an equidimensional commutative Gorenstein ring and A is an R-
algebra which is a finitely generated (maximal) Cohen-Macaulay R-module. We denote by …

Let R be a reduced local Noetherian ring of dimension one, and assume that the integral
closure/~ is finitely generated as an R-module. The main theorem of [13] gives necessary …

In this paper we completely classify all the special Cohen–Macaulay (= CM) modules
corresponding to the exceptional curves in the dual graph of the minimal resolutions of all …