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On Auslander modules of normal surface singularities

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Abstract We study thefundamental sequences of normal surface singularities. Our main result asserts that for rational singularities (with a technical side-condition) and for minimally elliptic singularities the middle termA, theAuslander module, is isomorphic to the module of Zariski differentials if and only if the singularity is quasihomogeneous.

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Behnke, K. On Auslander modules of normal surface singularities. Manuscripta Math 66, 205–223 (1990). https://doi.org/10.1007/BF02568491

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