Mutation in triangulated categories and rigid Cohen-Macaulay modules

Osamu Iyama, Yuji Yoshino

Research output: Contribution to journalArticle

200 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 2008

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Cohen-Macaulay Module
Triangulated Category
Tilting
Subring
Duality
Mutation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Mutation in triangulated categories and rigid Cohen-Macaulay modules. / Iyama, Osamu; Yoshino, Yuji.

In: Inventiones Mathematicae, Vol. 172, No. 1, 04.2008, p. 117-168.

Research output: Contribution to journalArticle

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