Rouquier's theorem on representation dimension
表示论
2007-05-23 v2 代数几何
摘要
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.
引用
@article{arxiv.math/0505055,
title = {Rouquier's theorem on representation dimension},
author = {Henning Krause and Dirk Kussin},
journal= {arXiv preprint arXiv:math/0505055},
year = {2007}
}
备注
Revised version; some details are added