Mutation in triangulated categories and rigid Cohen–Macaulay modules

Springer Science and Business Media LLC - Tập 172 - Trang 117-168 - 2008
Osamu Iyama1, Yuji Yoshino2
1Nagoya University, Nagoya, Japan
2Okayama University, Okayama, Japan

Tóm tắt

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.

Tài liệu tham khảo

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