Maximal Cohen-Macaulay modules over surface singularities

Details Maximal Cohen-Macaulay modules over surface singularities Maximal Cohen-Macaulay modules over surface singularities

2008-03-02

arxiv.org/abs/0803.0117v1

Mathematics

Algebraic Geometry

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

Scientific paper

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 $A_\infty$ and $D_\infty$.

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