Ulrich modules over cyclic quotient surface singularities
arXiv:1504.07688
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.
16 pages, to appear in J. Algebra, v3: changed several notations for improving our proofs, v2: Some minor changes, especially preliminaries are simplified