Mutations in triangulated categories and rigid Cohen-Macaulay modules

Mutations in triangulated categories and rigid Cohen-Macaulay modules
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发表时间:
2006
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通讯作者:
O. Iyama
O. Iyama
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其他
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作者:
O. Iyama

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我们在具有Auslander-Reiten-Serre对偶的三角范畴的n-簇倾斜子范畴集上引入突变的概念。利用这一思想,我们能够得到某些Verones子环上的刚性Cohen-Macaulay模的完全分类。
We introduce the notion of mutation on the set 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.