141 citations
- Chinese Academy of SciencesCN2 papers
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16 papers · 1 filter
Derived Functors and Hilbert Polynomials
Emanoil Theodorescu
Let be a commutative Noetherian ring, an ideal, and finitely generated -modules. Assume consists of finitely many maximal ideals a…
A tight closure analogue of analytic spread
Neil Epstein
An analogue of the theory of integral closure and reductions is developed for a more general class of closures, called Nakayama closures. It is shown that tight closure is a Nakaya…
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…
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…
Characteristic-free bounds for the Castelnuovo-Mumford regularity
Giulio Caviglia, Enrico Sbarra
We study bounds for the Castelnuovo-Mumford regularity of homogeneous ideals in a polynomial ring in terms of the number of variables and the degree of the generators. In particula…
On a conjecture of Auslander and Reiten
Craig Huneke, Graham Leuschke
In studying Nakayama's 1958 conjecture on rings of infinite dominant dimension, Auslander and Reiten proposed the following generalization: Let Lambda be an Artin algebra and M a L…