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Tilting line bundles and moduli of thin sincere representations of quivers. (English) Zbl 0879.16005
From the summary: Classification problems of vector bundles on smooth projective varieties over an algebraically closed field \(k\) and classification problems of modules over finite dimensional \(k\)-algebras are closely related via derived equivalences of the corresponding bounded derived categories. We review known results and provide an introduction to the concept of moduli spaces for a certain class of representations of quivers.

16G20 Representations of quivers and partially ordered sets
16G10 Representations of associative Artinian rings
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
16D40 Free, projective, and flat modules and ideals in associative algebras