In the last two decades Cohen-Macaulay rings and modules have been central topics in
commutative algebra. This book meets the need for a thorough, self-contained introduction …

Let R be a hypersurface domain, that is, a ring of the form S/(f), where S is a regular local
ring and f is a prime element. Suppose M and N are finitely generated R-modules. We prove …

This book gives a detailed account of recent work on relations between commutative
algebra and intersection theory, with a particular emphasis on applications of the theory of …

Géométrie Algébrique: le problème de la résolution des singularités d'une variété singulière,
et celui de la réduction semi-stable pour une variété propre et lisse sur un corps muni d'une …

Let R be a commutative Noetherian local ring, and let M and N be finitely generated i2-
modules of finite projective dimension such that M®# N is a module of finite length. Under …

Exterior power operations on higher <Emphasis Type="Italic">K</Emphasis>-theory Page 1
K-Theory 3: 247-260, 1989 247 9 1989 Kluwer Academic Publishers. Printed in the …

Theorem. Let X= Spec (R) be an affine scheme, flat and of finite type over a discrete
valuation ring A; suppose that there is a finite set of points SCX such that X is smooth over …

These notes are based on five lectures given at the Summer School on Commutative
Algebra held at the CRM in Barcelona during July, 1996. I would like to thank the organizers …

The linear Arithmetic Fundamental Lemma (AFL) conjecture compares intersection numbers
on Lubin--Tate deformation spaces with derivatives of orbital integrals. It has been …

We construct Adams operations on higher algebraic K-groups induced by operations such
as symmetric powers on any suitable exact category, by constructing an explicit map of …