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Ulrich modules over cyclic quotient surface singularities

Published 29 Apr 2015 in math.AC, math.AG, and math.RT | (1504.07688v3)

Abstract: In this paper, we characterize Ulrich modules over cyclic quotient surface singularities by using the notion of special Cohen-Macaulay modules. We also investigate the number of indecomposable Ulrich modules for a given cyclic quotient surface singularity, and show that the number of exceptional curves in the minimal resolution gives a boundary for the number of indecomposable Ulrich modules.

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