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Questions about tilting theory, including questions on tilting modules, tilting sheaves, tilting complexes, and tilting objects.

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On the definition and an example of silting/tilting subcategories in a triangulated categori...

In the paper "Silting mutation in triangulated categories" by Aihara and Iyama, I stumbled upon this nice definition( Definition 2.1) of a tilting/silting subcategory of a triangulated category $\mathcal … Also as a first example of tilting subcategory the stalk of complexes of a ring $A$ in the triangulated category $K^{b}(A)$ is considered. …
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