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In this article the authors develop a new method to deal with maximal Cohen-Macaulay modules over non-isolated surface singularities. In particular, they give a negative answer on an old question of Schreyer about surface singularities with only countably many indecomposable max…
Cover -- Title page -- Introduction, motivation and historical remarks -- Chapter 1. Generalities on maximal Cohen-Macaulay modules -- 1.1. Maximal Cohen-Macaulay modules over surface singularities -- 1.2. On the category \CM^{ }(\rA) -- Chapter 2. Category of triples in dimensi…