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Tilting Cohen-Macaulay representations (1805.05318v1)

Published 14 May 2018 in math.RT, math.AC, math.AG, and math.RA

Abstract: This is a survey on recent developments in Cohen-Macaulay representations via tilting and cluster tilting theory. We explain triangle equivalences between the singularity categories of Gorenstein rings and the derived (or cluster) categories of finite dimensional algebras.

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