On the derived dimension of abelian categories
classification
🧮 math.RT
keywords
abeliancategoryderiveddimensionapplicationsboundboundedcategories
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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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