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

Osamu Iyama, Yuji Yoshino

Research output: Contribution to journal › Article › peer-review

275 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 language	English
Pages (from-to)	117-168
Number of pages	52
Journal	Inventiones Mathematicae
Volume	172
Issue number	1
DOIs	https://doi.org/10.1007/s00222-007-0096-4
Publication status	Published - Apr 2008
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00222-007-0096-4

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Mutation in triangulated categories and rigid Cohen-Macaulay modules

Abstract

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