On certain Cohen–Macaulay modules

In this posthumously published work, motivated by the study of the completed local rings at “bad” points of the eigencurve, J. Bellaïche studies the set of isomorphism classes of Cohen–Macaulay modules over the ring $T_{N} : = k [[X_{1}, \dots, X_{N}]] ∕ ⟨ {(X_{i} X_{j})}_{1 \leq i < j \leq N} ⟩$ for any $N \geq 1$ and computes the $L$ -ideals of the duality pairing between Cohen–Macaulay fractional ideals of $T_{N}$ .

PDF Access Denied

We have not been able to recognize your IP address 216.73.217.26 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

Cohen–Macaulay module, $L$-ideal

Mathematical Subject Classification

Primary: 13C14

Milestones

Received: 13 May 2024

Revised: 26 December 2024

Accepted: 11 February 2025

Published: 12 September 2025

Authors

Joël Bellaïche
Department of Mathematics Brandeis University Waltham, MA United States

Vol. 7, No. 3-4, 2025

Joël Bellaïche

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification

Milestones

Authors