Ulrich modules over cyclic quotient surface singularities
classification
🧮 math.AC
math.AGmath.RT
keywords
modulesulrichcyclicnumberquotientsurfaceindecomposablesingularities
read the original 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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