Rouquier's theorem on representation dimension
arXiv:math/0505055
Abstract
Based on work of Rouquier, some bounds for Aulander's representation dimension are discussed. More specifically, if X is a reduced projective scheme of dimension n over some field, and T is a tilting complex of coherent O_X-modules, then the representation dimension of the endomorphism algebra of T is at least n.
Revised version; some details are added