Mutation in triangulated categories and rigid Cohen-Macaulay modules

Osamu Iyama; Yuji Yoshino

doi:10.1007/s00222-007-0096-4

Mutation in triangulated categories and rigid Cohen-Macaulay modules

表示论 2015-06-26 v3 交换代数

作者: Osamu Iyama , Yuji Yoshino

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摘要

We introduce the notion of mutation of $n$ -cluster tilting subcategories in a triangulated category with Auslander-Reiten-Serre duality. Using this idea, we are able to obtain the complete classifications of rigid Cohen-Macaulay modules over certain Veronese subrings.

关键词

triangulated categories module categories stable categories

引用

@article{arxiv.math/0607736,
  title  = {Mutation in triangulated categories and rigid Cohen-Macaulay modules},
  author = {Osamu Iyama and Yuji Yoshino},
  journal= {arXiv preprint arXiv:math/0607736},
  year   = {2015}
}

备注

52 pages. To appear in Invent. Math

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