English

Maximal Cohen-Macaulay modules over surface singularities

Algebraic Geometry 2008-03-04 v1 Representation Theory

Abstract

This is a survey article about properties of Cohen-Macaulay modules over surface singularities. We discuss various results on the Macaulayfication functor, reflexive modules over simple, quotient and minimally elliptic singularities, geometric and algebraic McKay Correspondence. Finally, we describe matrix factorizations corresponding to the indecomposable Cohen-Macaulay modules over the non-isolated singularities AA_\infty and DD_\infty.

Keywords

Cite

@article{arxiv.0803.0117,
  title  = {Maximal Cohen-Macaulay modules over surface singularities},
  author = {Igor Burban and Yuriy Drozd},
  journal= {arXiv preprint arXiv:0803.0117},
  year   = {2008}
}

Comments

To appear in the Proceeding of the ICRA XII conference, Torun, August 2007

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