论文标题

相对奇异性类别III:集群分辨率

Relative singularity categories III: Cluster resolutions

论文作者

Kalck, Martin, Yang, Dong

论文摘要

我们使用DG代数和相对奇异性类别来建立一种研究$ 2 $ -CALABI-CALABI-CALABI-YAU-YAU三角形类别的规范形式的基础。这是由聚类理论,奇异性类别,Wemyss的同源模型计划以及这些主题之间的关系引起的。

We build foundations of an approach to study canonical forms of $2$-Calabi--Yau triangulated categories with cluster-tilting objects, using dg algebras and relative singularity categories. This is motivated by cluster theory, singularity categories, Wemyss's Homological Minimal Model Program and the relations between these topics.

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