Cohen-Macaulay modules on hypersurface singularities. II
type: Item
instance of: scholarly article
title: Cohen-Macaulay modules on hypersurface singularities. II
zbMATH Open document ID: 0617.14034
DOI: 10.1007/BF01405096
author: Gert-Martin Greuel
author: Ragnar-Olaf Buchweitz
author: Frank-Olaf Schreyer
published in: Inventiones Mathematicae
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143449
review text: This is the subsequent paper of H. Knörrer's paper with the same title [see the preceding review]. The main object is to prove the converse of Knörrer's result, namely that a non-simple hypersurface singularity R is of infinite Cohen-Macaulay-representation type, i.e. there are infinitely many isomorphism classes of indecomposable maximal Cohen- Macaulay modules (MCM) over R (see theorem A and B). Moreover the authors classify those (non-isolated) hypersurface singularities \((A_{\infty}\) and \(D_{\infty})\) which are of countable CM-representation type (see theorem B). An application to vector bundles on projective hypersurfaces with ''no cohomology in the middle'' is given (see theorem C).
Mathematics Subject Classification ID: 14M05
Mathematics Subject Classification ID: 14J17
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 4000121
zbMATH Keywords: non-simple hypersurface singularity
zbMATH Keywords: maximal Cohen-Macaulay modules
zbMATH Keywords: vector bundles on projective hypersurfaces
reviewed by: Manfred Herrmann
MaRDI profile type: Publication
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OpenAlex ID: W1993478393
Wikidata QID: Q102286299
description: scientific article; zbMATH DE number 4000121