Mutation in triangulated categories and rigid Cohen-Macaulay modules

Osamu Iyama, Yuji Yoshino

Research output: Contribution to journalArticle

211 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)117-168
Number of pages52
JournalInventiones Mathematicae
Volume172
Issue number1
DOIs
Publication statusPublished - Apr 1 2008

ASJC Scopus subject areas

  • Mathematics(all)

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