Dimensions of Triangulated Categories

  • RAPHAËL ROUQUIER
  • Published 2003

Abstract

We define a dimension for a triangulated category. We prove a representability Theorem for a class of functors on finite dimensional triangulated categories. We study the dimension of the bounded derived category of an algebra or a scheme and we show in particular that the bounded derived category of coherent sheaves over a variety has a finite dimension. 

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