Depth for complexes, and intersection theorems
type: Item
instance of: scholarly article
title: Depth for complexes, and intersection theorems
zbMATH Open document ID: 0927.13015
DOI: 10.1007/PL00004705
published in: Mathematische Zeitschrift
publication date: 1999-11-18T00:00:00Z
review text: The abstract: This paper introduces a new notion of depth for complexes; it agrees with the classical definition for modules, and coincides with earlier extensions to complexes, whenever those are defined. Techniques are developed leading to a quick proof of an extension of the improved intersection theorem (this uses Hochster's big Cohen-Macaulay modules), and also a generalization of the ``depth formula'' for tensor product of modules. Properties of depth for complexes are established, extending the usual properties of depth for modules.
Mathematics Subject Classification ID: 13C15
Mathematics Subject Classification ID: 13D22
Mathematics Subject Classification ID: 13D25
Mathematics Subject Classification ID: 18G15
zbMATH DE Number: 1295402
zbMATH Keywords: depth for complexes
zbMATH Keywords: intersection theorem
author: Srikanth B. Iyengar
reviewed by: Ánh Pham Ngoc
MaRDI profile type: Publication
full work available at URL: pl00004705
OpenAlex ID: W2129735983
description: scientific article; zbMATH DE number 1295402