Gluing of categories and Krull--Schmidt partners
Dmitri Orlov
TL;DR
This paper explores the concept of Krull--Schmidt partners within DG categories, providing numerous examples specifically for smooth projective varieties, thereby advancing the understanding of categorical decompositions.
Contribution
It introduces new methods for constructing Krull--Schmidt partners for DG categories, especially in the context of smooth projective varieties.
Findings
Established multiple examples of Krull--Schmidt partners for DG categories.
Extended the theory to include smooth projective varieties.
Provided insights into categorical decompositions and their applications.
Abstract
We discuss Krull--Schmidt partners for DG categories and produce bunches of them for smooth projective varieties.
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