Maximal Cohen-Macaulay modules over surface singularities

2008/03/02 by Igor Burban, Yuriy Drozd, Burban, Igor +1
Mathematics · #13C14 #13H10 #16G50 #16G60 #32S25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0803.0117

openalex publication_date 2008/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 A_∞ and D_∞.

Citations

• Euler number of the compactified Jacobian and multiplicity of rational curves
• D-Branes in Topological String Theory
• Vector Bundles Over an Elliptic Curve

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