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Concrete examples of derived categories

What examples of abelian categories $\mathcal{A}$ are there such that the derived category $\mathcal{D}(\mathcal{A})$ can be described concretely? For example, is there a concrete way of describing $\...
Jannik Pitt's user avatar
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0 answers
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Bounded derived categories of which smooth projectives possess bounded t-structures whose hearts are categories of modules?

I am interested in $P$ that is smooth and proper over a field and such that the derived category of coherent sheaves $D^b(P)$ possesses a $t$-structure whose heart is the category of finitely ...
Mikhail Bondarko's user avatar
3 votes
0 answers
141 views

Are there any interesting examples of geometric triangulated categories with the Jordan-Holder property?

In this paper, Kuznetsov mentions that the following triangulated categories have the Jordan-Holder property $\mathbf{D}(\Bbb P^1)$ and $\mathbf{D}(\Bbb P^1/\Gamma)$ connected Calabi-Yau categories ...
Brian Fitzpatrick's user avatar