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20022004
most citedTwo theorems about maximal Cohen--Macaulay modules

105 citations · 123 across the 20 of their papers we have counts for

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math.AC20041 cited

The Regularity of Tor and Graded Betti Numbers

David Eisenbud, Craig Huneke, Bernd Ulrich

Let S=K[x_1,..., x_n], let A,B be finitely generated graded S-modules, and let m=(x_1,...,x_n). We give bounds for the Castelnuovo-Mumford regularity of the local cohomology of Tor…

math.AC2004

On the core of ideals

Craig Huneke, Ngo Viet Trung

Our focus in this paper is in effective computation of the core core(I) of an ideal I which is defined to be the intersection of all minimal reductions of I. The first main result…

math.AC2004105 cited

Two theorems about maximal Cohen--Macaulay modules

Craig Huneke, Graham J. Leuschke

This paper contains two theorems concerning the theory of maximal Cohen--Macaulay modules. The first theorem proves that certain Ext groups between maximal Cohen--Macaulay modules…

math.AC20041 cited

Hilbert-Kunz Functions for Normal Rings

Craig Huneke, Moira A. McDermott, Paul Monsky

Let (R,m,k) be an excellent, local, normal ring of characteristic p with a perfect residue field and dim R=d. Let M be a finitely generated R-module. We show that there exists a re…

math.AC200410 cited

Rings which are almost Gorenstein

Craig Huneke, Adela Vraciu

We introduce classes of rings which are close to being Gorenstein. These rings arise naturally as specializations of rings of countable CM type. We study these rings in detail, and…

math.AC2004

Integral closure of ideals and annihilators of homology

Alberto Corso, Craig Huneke, Daniel Katz +1

This article outgrew from an effort to understand our basic question: Are the annihilators of the non-zero Koszul homology modules of an unmixed ideal contained in the in…