Ulrich modules over cyclic quotient surface singularities
Commutative Algebra
2017-04-07 v3 Algebraic Geometry
Representation Theory
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.
Cite
@article{arxiv.1504.07688,
title = {Ulrich modules over cyclic quotient surface singularities},
author = {Yusuke Nakajima and Ken-ichi Yoshida},
journal= {arXiv preprint arXiv:1504.07688},
year = {2017}
}
Comments
16 pages, to appear in J. Algebra, v3: changed several notations for improving our proofs, v2: Some minor changes, especially preliminaries are simplified