Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity
Xiaoshan Qin, Yanhua Wang, James Zhang
TL;DR
This paper investigates graded maximal Cohen-Macaulay modules over a specific class of noncommutative 2-dimensional singularities, extending McKay correspondence to a broader context.
Contribution
It extends the McKay correspondence in dimension two to a more general setting involving noncommutative singularities.
Findings
Properties of graded maximal Cohen-Macaulay modules are characterized.
A generalized version of McKay correspondence is established.
Insights into the structure of noncommutative 2-dimensional singularities are provided.
Abstract
We study properties of graded maximal Cohen-Macaulay modules over an N-graded locally finite, Auslander Gorenstein, and Cohen-Macaulay algebra of dimension two. As a consequence, we extend a part of McKay correspondence in dimension two to a more general setting.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry