On Cohen–macaulay Modules on Surface Singularities

  title={On Cohen–macaulay Modules on Surface Singularities},
  author={Gert-Martin Greuel and IRINA KASHUBA},
We study Cohen–Macaulay modules over normal surface singularities. Using the method of Kahn and extending it to families of modules, we classify Cohen–Macaulay modules over cusp singularities and prove that a minimally elliptic singularity is Cohen–Macaulay tame if and only if it is either simple elliptic or cusp. As a corollary, we obtain a classification of Cohen–Macaulay modules over log-canonical surface singularities and hypersurface singularities of type Tpqr; especially they are Cohen… CONTINUE READING

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