Cohen-Macaulay modules on hypersurface singularities. II
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).
vector bundles on projective hypersurfaces
scientific article; zbMATH DE number 4000121