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Maximal Cohen-Macaulay modules and the quasihomogeneity of isolated Cohen-Macaulay singularities


Author: Alex Martsinkovsky
Journal: Proc. Amer. Math. Soc. 112 (1991), 9-18
MSC: Primary 13C14; Secondary 13D02
DOI: https://doi.org/10.1090/S0002-9939-1991-1042270-X
MathSciNet review: 1042270
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Abstract: We conjecture that a complete isolated Cohen-Macaulay singularity of dimension $ \geq 2$ is graded if and only if sufficiently high syzygy modules of the residue field and of the transpose of the module of Kähler differentials are isomorphic. The "only if" part of the conjecture is proved for hypersurface singularities.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1042270-X
Keywords: Cohen-Macaulay, quasihomogeneity, graded, isolated singularity, Kähler differentials, transpose, hypersurface, maximal Cohen-Macaulay approximations, moduli algebra
Article copyright: © Copyright 1991 American Mathematical Society