Literature

• Main list (selected by Kussin and Oppermann)

Papers concerning the dimension of a triangulated category

• A. Bondal and M. Van den Bergh: Generators and representability of functors in commutative and noncommutative geometry, Mosc. Math. J. vol. 3 (2003), 1-36.
• R. Rouquier: Dimensions of triangulated categories, arXiv:math.CT/0310134.

New preprints

• Dmitri Orlov: Remarks on generators and dimensions of triangulated categories
  Abstract: In this paper we prove that the dimension of the bounded derived category of coherent sheaves on a smooth quasi-projective curve is equal to one. We also discuss dimension spectrums of these categories. (Submitted April 7, 2008)
  arXiv

• Bergh-Oppermann: Complexity and the dimension of a triangulated category. Preprint 2008
  (A more general version is in preparation.)
• Oppermann: On one-point-extensions Preprint 2008
• Bergh-Oppermann: When do the quantum complete intersections satisfy the finite generation hypothesis? Preprint 2008.

Some surveys and notes

• Ringel: Iyama's finiteness theorem via strongly quasi-hereditary algebras. pdf
• Ringel: Artin algebras of dominant dimension at least 2 pdf
• Ringel: The torsionless modules of an artin algebra pdf
• Beligiannis: Torsionless Modules
• Beligiannis: Some ghost lemmas