On the derived dimension of abelian categories

Details On the derived dimension of abelian categories On the derived dimension of abelian categories

2012-01-02

arxiv.org/abs/1201.0479v1

Mathematics

Representation Theory

Scientific paper

We give an upper bound on the dimension of the bounded derived category of an
abelian category. We show that if $\CX$ is a sufficiently nice subcategory of
an abelian category, then derived dimension of $\CA$ is at most $\CX$-dim$\CA$,
provided $\CX$-dim$\CA$ is greater than one. We provide some applications.

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