Cohen-Macaulay modules on hypersurface singularities. II (Q1821839)

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).